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Finding the Fourth Proportional to 38,572.80, 57,847.86 and 16,386

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Solution

The fourth proportional to 38,572.80, 57,847.86 and 16,386 is: 24,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,572.80 : 57,847.86 = 16,386 : x
  2. Step 2: Convert to fraction form
    38,572.80/57,847.86 = 16,386/x
  3. Step 3: Cross multiply
    38,572.80x = 57,847.86 × 16,386
  4. Step 4: Simplify right side
    38,572.80x = 947,895,033.96
  5. Step 5: Solve for x
    x = 947,895,033.96/38,572.80
  6. Step 6: Final answer
    x = 24,574.18

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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.