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Finding the Fourth Proportional to 29,149.90, 40,129.56 and 27,810.86

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Solution

The fourth proportional to 29,149.90, 40,129.56 and 27,810.86 is: 38,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,149.90 : 40,129.56 = 27,810.86 : x
  2. Step 2: Convert to fraction form
    29,149.90/40,129.56 = 27,810.86/x
  3. Step 3: Cross multiply
    29,149.90x = 40,129.56 × 27,810.86
  4. Step 4: Simplify right side
    29,149.90x = 1,116,037,575.02
  5. Step 5: Solve for x
    x = 1,116,037,575.02/29,149.90
  6. Step 6: Final answer
    x = 38,286.15

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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.