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Finding the Fourth Proportional to 74,296.98, 102,531.96 and 42,470.10

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Solution

The fourth proportional to 74,296.98, 102,531.96 and 42,470.10 is: 58,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296.98 : 102,531.96 = 42,470.10 : x
  2. Step 2: Convert to fraction form
    74,296.98/102,531.96 = 42,470.10/x
  3. Step 3: Cross multiply
    74,296.98x = 102,531.96 × 42,470.10
  4. Step 4: Simplify right side
    74,296.98x = 4,354,542,594.40
  5. Step 5: Solve for x
    x = 4,354,542,594.40/74,296.98
  6. Step 6: Final answer
    x = 58,609.95

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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.