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Finding the Fourth Proportional to 74,614.97, 102,972.47 and 42,351.86

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Solution

The fourth proportional to 74,614.97, 102,972.47 and 42,351.86 is: 58,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.97 : 102,972.47 = 42,351.86 : x
  2. Step 2: Convert to fraction form
    74,614.97/102,972.47 = 42,351.86/x
  3. Step 3: Cross multiply
    74,614.97x = 102,972.47 × 42,351.86
  4. Step 4: Simplify right side
    74,614.97x = 4,361,075,678.97
  5. Step 5: Solve for x
    x = 4,361,075,678.97/74,614.97
  6. Step 6: Final answer
    x = 58,447.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.