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Finding the Fourth Proportional to 37,662.78, 56,472.02 and 14,290.86

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Solution

The fourth proportional to 37,662.78, 56,472.02 and 14,290.86 is: 21,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.78 : 56,472.02 = 14,290.86 : x
  2. Step 2: Convert to fraction form
    37,662.78/56,472.02 = 14,290.86/x
  3. Step 3: Cross multiply
    37,662.78x = 56,472.02 × 14,290.86
  4. Step 4: Simplify right side
    37,662.78x = 807,033,731.74
  5. Step 5: Solve for x
    x = 807,033,731.74/37,662.78
  6. Step 6: Final answer
    x = 21,427.89

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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.