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Finding the Fourth Proportional to 48,471.68, 72,719.13 and 23,482.54

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Solution

The fourth proportional to 48,471.68, 72,719.13 and 23,482.54 is: 35,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.68 : 72,719.13 = 23,482.54 : x
  2. Step 2: Convert to fraction form
    48,471.68/72,719.13 = 23,482.54/x
  3. Step 3: Cross multiply
    48,471.68x = 72,719.13 × 23,482.54
  4. Step 4: Simplify right side
    48,471.68x = 1,707,630,057.95
  5. Step 5: Solve for x
    x = 1,707,630,057.95/48,471.68
  6. Step 6: Final answer
    x = 35,229.44

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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.