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Finding the Fourth Proportional to 48,411.60, 66,834.48 and 29,294.64

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Solution

The fourth proportional to 48,411.60, 66,834.48 and 29,294.64 is: 40,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,411.60 : 66,834.48 = 29,294.64 : x
  2. Step 2: Convert to fraction form
    48,411.60/66,834.48 = 29,294.64/x
  3. Step 3: Cross multiply
    48,411.60x = 66,834.48 × 29,294.64
  4. Step 4: Simplify right side
    48,411.60x = 1,957,892,031.19
  5. Step 5: Solve for x
    x = 1,957,892,031.19/48,411.60
  6. Step 6: Final answer
    x = 40,442.62

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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.