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Finding the Fourth Proportional to 71,686.64, 107,462.78 and 24,268.56

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Solution

The fourth proportional to 71,686.64, 107,462.78 and 24,268.56 is: 36,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,686.64 : 107,462.78 = 24,268.56 : x
  2. Step 2: Convert to fraction form
    71,686.64/107,462.78 = 24,268.56/x
  3. Step 3: Cross multiply
    71,686.64x = 107,462.78 × 24,268.56
  4. Step 4: Simplify right side
    71,686.64x = 2,607,966,924.20
  5. Step 5: Solve for x
    x = 2,607,966,924.20/71,686.64
  6. Step 6: Final answer
    x = 36,380.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.