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Finding the Fourth Proportional to 29,454.38, 40,646.72 and 17,517.45

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Solution

The fourth proportional to 29,454.38, 40,646.72 and 17,517.45 is: 24,173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454.38 : 40,646.72 = 17,517.45 : x
  2. Step 2: Convert to fraction form
    29,454.38/40,646.72 = 17,517.45/x
  3. Step 3: Cross multiply
    29,454.38x = 40,646.72 × 17,517.45
  4. Step 4: Simplify right side
    29,454.38x = 712,026,929.06
  5. Step 5: Solve for x
    x = 712,026,929.06/29,454.38
  6. Step 6: Final answer
    x = 24,173.89

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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.