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Finding the Fourth Proportional to 59,691.48, 82,376.64 and 35,809.44

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Solution

The fourth proportional to 59,691.48, 82,376.64 and 35,809.44 is: 49,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,691.48 : 82,376.64 = 35,809.44 : x
  2. Step 2: Convert to fraction form
    59,691.48/82,376.64 = 35,809.44/x
  3. Step 3: Cross multiply
    59,691.48x = 82,376.64 × 35,809.44
  4. Step 4: Simplify right side
    59,691.48x = 2,949,861,347.48
  5. Step 5: Solve for x
    x = 2,949,861,347.48/59,691.48
  6. Step 6: Final answer
    x = 49,418.47

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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.