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Finding the Fourth Proportional to 29,691.16, 40,967.04 and 17,752.48

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Solution

The fourth proportional to 29,691.16, 40,967.04 and 17,752.48 is: 24,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.16 : 40,967.04 = 17,752.48 : x
  2. Step 2: Convert to fraction form
    29,691.16/40,967.04 = 17,752.48/x
  3. Step 3: Cross multiply
    29,691.16x = 40,967.04 × 17,752.48
  4. Step 4: Simplify right side
    29,691.16x = 727,266,558.26
  5. Step 5: Solve for x
    x = 727,266,558.26/29,691.16
  6. Step 6: Final answer
    x = 24,494.38

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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.