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Finding the Fourth Proportional to 57,718.76, 86,581.42 and 16,169

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Solution

The fourth proportional to 57,718.76, 86,581.42 and 16,169 is: 24,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,718.76 : 86,581.42 = 16,169 : x
  2. Step 2: Convert to fraction form
    57,718.76/86,581.42 = 16,169/x
  3. Step 3: Cross multiply
    57,718.76x = 86,581.42 × 16,169
  4. Step 4: Simplify right side
    57,718.76x = 1,399,934,979.98
  5. Step 5: Solve for x
    x = 1,399,934,979.98/57,718.76
  6. Step 6: Final answer
    x = 24,254.42

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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.