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Finding the Fourth Proportional to 24,835,662.78, 37,296,002.97 and 13,498,254.78

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Solution

The fourth proportional to 24,835,662.78, 37,296,002.97 and 13,498,254.78 is: 20,270,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835,662.78 : 37,296,002.97 = 13,498,254.78 : x
  2. Step 2: Convert to fraction form
    24,835,662.78/37,296,002.97 = 13,498,254.78/x
  3. Step 3: Cross multiply
    24,835,662.78x = 37,296,002.97 × 13,498,254.78
  4. Step 4: Simplify right side
    24,835,662.78x = 503,430,950,110,725.50
  5. Step 5: Solve for x
    x = 503,430,950,110,725.50/24,835,662.78
  6. Step 6: Final answer
    x = 20,270,485.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.