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Finding the Fourth Proportional to 29,573.68, 40,832.16 and 27,691.60

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Solution

The fourth proportional to 29,573.68, 40,832.16 and 27,691.60 is: 38,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573.68 : 40,832.16 = 27,691.60 : x
  2. Step 2: Convert to fraction form
    29,573.68/40,832.16 = 27,691.60/x
  3. Step 3: Cross multiply
    29,573.68x = 40,832.16 × 27,691.60
  4. Step 4: Simplify right side
    29,573.68x = 1,130,707,841.86
  5. Step 5: Solve for x
    x = 1,130,707,841.86/29,573.68
  6. Step 6: Final answer
    x = 38,233.59

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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.