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Finding the Fourth Proportional to 57,770.56, 86,638.20 and 24,490

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Solution

The fourth proportional to 57,770.56, 86,638.20 and 24,490 is: 36,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770.56 : 86,638.20 = 24,490 : x
  2. Step 2: Convert to fraction form
    57,770.56/86,638.20 = 24,490/x
  3. Step 3: Cross multiply
    57,770.56x = 86,638.20 × 24,490
  4. Step 4: Simplify right side
    57,770.56x = 2,121,769,518
  5. Step 5: Solve for x
    x = 2,121,769,518/57,770.56
  6. Step 6: Final answer
    x = 36,727.52

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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.