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Finding the Fourth Proportional to 57,642.68, 86,490.75 and 24,370.52

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Solution

The fourth proportional to 57,642.68, 86,490.75 and 24,370.52 is: 36,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.68 : 86,490.75 = 24,370.52 : x
  2. Step 2: Convert to fraction form
    57,642.68/86,490.75 = 24,370.52/x
  3. Step 3: Cross multiply
    57,642.68x = 86,490.75 × 24,370.52
  4. Step 4: Simplify right side
    57,642.68x = 2,107,824,211.63
  5. Step 5: Solve for x
    x = 2,107,824,211.63/57,642.68
  6. Step 6: Final answer
    x = 36,567.07

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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.