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Finding the Fourth Proportional to 181,565.75, 272,348.66 and 48,446.51

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Solution

The fourth proportional to 181,565.75, 272,348.66 and 48,446.51 is: 72,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,565.75 : 272,348.66 = 48,446.51 : x
  2. Step 2: Convert to fraction form
    181,565.75/272,348.66 = 48,446.51/x
  3. Step 3: Cross multiply
    181,565.75x = 272,348.66 × 48,446.51
  4. Step 4: Simplify right side
    181,565.75x = 13,194,340,476.20
  5. Step 5: Solve for x
    x = 13,194,340,476.20/181,565.75
  6. Step 6: Final answer
    x = 72,669.76

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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.