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Finding the Fourth Proportional to 57,867.10, 86,800.65 and 16,314.10

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Solution

The fourth proportional to 57,867.10, 86,800.65 and 16,314.10 is: 24,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867.10 : 86,800.65 = 16,314.10 : x
  2. Step 2: Convert to fraction form
    57,867.10/86,800.65 = 16,314.10/x
  3. Step 3: Cross multiply
    57,867.10x = 86,800.65 × 16,314.10
  4. Step 4: Simplify right side
    57,867.10x = 1,416,074,484.17
  5. Step 5: Solve for x
    x = 1,416,074,484.17/57,867.10
  6. Step 6: Final answer
    x = 24,471.15

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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.