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Finding the Fourth Proportional to 57,638.88, 86,467.53 and 24,359.22

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Solution

The fourth proportional to 57,638.88, 86,467.53 and 24,359.22 is: 36,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,638.88 : 86,467.53 = 24,359.22 : x
  2. Step 2: Convert to fraction form
    57,638.88/86,467.53 = 24,359.22/x
  3. Step 3: Cross multiply
    57,638.88x = 86,467.53 × 24,359.22
  4. Step 4: Simplify right side
    57,638.88x = 2,106,281,586.13
  5. Step 5: Solve for x
    x = 2,106,281,586.13/57,638.88
  6. Step 6: Final answer
    x = 36,542.72

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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.