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Finding the Fourth Proportional to 77,010.40, 115,504.80 and 24,425.20

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Solution

The fourth proportional to 77,010.40, 115,504.80 and 24,425.20 is: 36,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,010.40 : 115,504.80 = 24,425.20 : x
  2. Step 2: Convert to fraction form
    77,010.40/115,504.80 = 24,425.20/x
  3. Step 3: Cross multiply
    77,010.40x = 115,504.80 × 24,425.20
  4. Step 4: Simplify right side
    77,010.40x = 2,821,227,840.96
  5. Step 5: Solve for x
    x = 2,821,227,840.96/77,010.40
  6. Step 6: Final answer
    x = 36,634.37

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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.