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Finding the Fourth Proportional to 57,685.50, 86,531.49 and 16,135.74

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Solution

The fourth proportional to 57,685.50, 86,531.49 and 16,135.74 is: 24,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,685.50 : 86,531.49 = 16,135.74 : x
  2. Step 2: Convert to fraction form
    57,685.50/86,531.49 = 16,135.74/x
  3. Step 3: Cross multiply
    57,685.50x = 86,531.49 × 16,135.74
  4. Step 4: Simplify right side
    57,685.50x = 1,396,249,624.45
  5. Step 5: Solve for x
    x = 1,396,249,624.45/57,685.50
  6. Step 6: Final answer
    x = 24,204.52

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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.