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Finding the Fourth Proportional to 52,197.80, 78,499.50 and 43,540.52

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Solution

The fourth proportional to 52,197.80, 78,499.50 and 43,540.52 is: 65,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197.80 : 78,499.50 = 43,540.52 : x
  2. Step 2: Convert to fraction form
    52,197.80/78,499.50 = 43,540.52/x
  3. Step 3: Cross multiply
    52,197.80x = 78,499.50 × 43,540.52
  4. Step 4: Simplify right side
    52,197.80x = 3,417,909,049.74
  5. Step 5: Solve for x
    x = 3,417,909,049.74/52,197.80
  6. Step 6: Final answer
    x = 65,479.94

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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.