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Finding the Fourth Proportional to 57,713.70, 86,578.65 and 18,266.70

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Solution

The fourth proportional to 57,713.70, 86,578.65 and 18,266.70 is: 27,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713.70 : 86,578.65 = 18,266.70 : x
  2. Step 2: Convert to fraction form
    57,713.70/86,578.65 = 18,266.70/x
  3. Step 3: Cross multiply
    57,713.70x = 86,578.65 × 18,266.70
  4. Step 4: Simplify right side
    57,713.70x = 1,581,506,225.96
  5. Step 5: Solve for x
    x = 1,581,506,225.96/57,713.70
  6. Step 6: Final answer
    x = 27,402.61

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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.