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Finding the Fourth Proportional to 74,061.32, 102,202.09 and 42,240.47

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Solution

The fourth proportional to 74,061.32, 102,202.09 and 42,240.47 is: 58,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061.32 : 102,202.09 = 42,240.47 : x
  2. Step 2: Convert to fraction form
    74,061.32/102,202.09 = 42,240.47/x
  3. Step 3: Cross multiply
    74,061.32x = 102,202.09 × 42,240.47
  4. Step 4: Simplify right side
    74,061.32x = 4,317,063,699.97
  5. Step 5: Solve for x
    x = 4,317,063,699.97/74,061.32
  6. Step 6: Final answer
    x = 58,290.40

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