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Finding the Fourth Proportional to 75,251.96, 103,770.18 and 52,582.68

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Solution

The fourth proportional to 75,251.96, 103,770.18 and 52,582.68 is: 72,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251.96 : 103,770.18 = 52,582.68 : x
  2. Step 2: Convert to fraction form
    75,251.96/103,770.18 = 52,582.68/x
  3. Step 3: Cross multiply
    75,251.96x = 103,770.18 × 52,582.68
  4. Step 4: Simplify right side
    75,251.96x = 5,456,514,168.48
  5. Step 5: Solve for x
    x = 5,456,514,168.48/75,251.96
  6. Step 6: Final answer
    x = 72,509.93

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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.