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Finding the Fourth Proportional to 57,587.76, 86,315.76 and 24,257.88

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Solution

The fourth proportional to 57,587.76, 86,315.76 and 24,257.88 is: 36,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,587.76 : 86,315.76 = 24,257.88 : x
  2. Step 2: Convert to fraction form
    57,587.76/86,315.76 = 24,257.88/x
  3. Step 3: Cross multiply
    57,587.76x = 86,315.76 × 24,257.88
  4. Step 4: Simplify right side
    57,587.76x = 2,093,837,348.19
  5. Step 5: Solve for x
    x = 2,093,837,348.19/57,587.76
  6. Step 6: Final answer
    x = 36,359.07

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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.