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Finding the Fourth Proportional to 48,632.96, 72,948 and 20,167.04

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Solution

The fourth proportional to 48,632.96, 72,948 and 20,167.04 is: 30,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,632.96 : 72,948 = 20,167.04 : x
  2. Step 2: Convert to fraction form
    48,632.96/72,948 = 20,167.04/x
  3. Step 3: Cross multiply
    48,632.96x = 72,948 × 20,167.04
  4. Step 4: Simplify right side
    48,632.96x = 1,471,145,233.92
  5. Step 5: Solve for x
    x = 1,471,145,233.92/48,632.96
  6. Step 6: Final answer
    x = 30,249.96

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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.