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Finding the Fourth Proportional to 48,471.32, 72,632.82 and 32,617.64

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Solution

The fourth proportional to 48,471.32, 72,632.82 and 32,617.64 is: 48,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.32 : 72,632.82 = 32,617.64 : x
  2. Step 2: Convert to fraction form
    48,471.32/72,632.82 = 32,617.64/x
  3. Step 3: Cross multiply
    48,471.32x = 72,632.82 × 32,617.64
  4. Step 4: Simplify right side
    48,471.32x = 2,369,111,174.94
  5. Step 5: Solve for x
    x = 2,369,111,174.94/48,471.32
  6. Step 6: Final answer
    x = 48,876.56

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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.