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Finding the Fourth Proportional to 45,616.68, 68,332.38 and 38,200.20

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Solution

The fourth proportional to 45,616.68, 68,332.38 and 38,200.20 is: 57,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,616.68 : 68,332.38 = 38,200.20 : x
  2. Step 2: Convert to fraction form
    45,616.68/68,332.38 = 38,200.20/x
  3. Step 3: Cross multiply
    45,616.68x = 68,332.38 × 38,200.20
  4. Step 4: Simplify right side
    45,616.68x = 2,610,310,582.48
  5. Step 5: Solve for x
    x = 2,610,310,582.48/45,616.68
  6. Step 6: Final answer
    x = 57,222.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.