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Finding the Fourth Proportional to 57,854.48, 86,785.08 and 16,298

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Solution

The fourth proportional to 57,854.48, 86,785.08 and 16,298 is: 24,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,854.48 : 86,785.08 = 16,298 : x
  2. Step 2: Convert to fraction form
    57,854.48/86,785.08 = 16,298/x
  3. Step 3: Cross multiply
    57,854.48x = 86,785.08 × 16,298
  4. Step 4: Simplify right side
    57,854.48x = 1,414,423,233.84
  5. Step 5: Solve for x
    x = 1,414,423,233.84/57,854.48
  6. Step 6: Final answer
    x = 24,447.95

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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.