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Finding the Fourth Proportional to 38,191.50, 52,704.63 and 21,424.86

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Solution

The fourth proportional to 38,191.50, 52,704.63 and 21,424.86 is: 29,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.50 : 52,704.63 = 21,424.86 : x
  2. Step 2: Convert to fraction form
    38,191.50/52,704.63 = 21,424.86/x
  3. Step 3: Cross multiply
    38,191.50x = 52,704.63 × 21,424.86
  4. Step 4: Simplify right side
    38,191.50x = 1,129,189,319.10
  5. Step 5: Solve for x
    x = 1,129,189,319.10/38,191.50
  6. Step 6: Final answer
    x = 29,566.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.