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Finding the Fourth Proportional to 74,098.31, 102,246.14 and 42,265.31

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Solution

The fourth proportional to 74,098.31, 102,246.14 and 42,265.31 is: 58,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.31 : 102,246.14 = 42,265.31 : x
  2. Step 2: Convert to fraction form
    74,098.31/102,246.14 = 42,265.31/x
  3. Step 3: Cross multiply
    74,098.31x = 102,246.14 × 42,265.31
  4. Step 4: Simplify right side
    74,098.31x = 4,321,464,803.40
  5. Step 5: Solve for x
    x = 4,321,464,803.40/74,098.31
  6. Step 6: Final answer
    x = 58,320.69

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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.