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Finding the Fourth Proportional to 52,108.08, 71,909.22 and 28,234.74

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Solution

The fourth proportional to 52,108.08, 71,909.22 and 28,234.74 is: 38,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.08 : 71,909.22 = 28,234.74 : x
  2. Step 2: Convert to fraction form
    52,108.08/71,909.22 = 28,234.74/x
  3. Step 3: Cross multiply
    52,108.08x = 71,909.22 × 28,234.74
  4. Step 4: Simplify right side
    52,108.08x = 2,030,338,130.30
  5. Step 5: Solve for x
    x = 2,030,338,130.30/52,108.08
  6. Step 6: Final answer
    x = 38,963.98

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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.