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Finding the Fourth Proportional to 52,966.54, 79,449.72 and 13,523.66

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Solution

The fourth proportional to 52,966.54, 79,449.72 and 13,523.66 is: 20,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,966.54 : 79,449.72 = 13,523.66 : x
  2. Step 2: Convert to fraction form
    52,966.54/79,449.72 = 13,523.66/x
  3. Step 3: Cross multiply
    52,966.54x = 79,449.72 × 13,523.66
  4. Step 4: Simplify right side
    52,966.54x = 1,074,451,000.38
  5. Step 5: Solve for x
    x = 1,074,451,000.38/52,966.54
  6. Step 6: Final answer
    x = 20,285.47

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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.