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Finding the Fourth Proportional to 181,565.38, 272,348.09 and 48,446.13

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Solution

The fourth proportional to 181,565.38, 272,348.09 and 48,446.13 is: 72,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,565.38 : 272,348.09 = 48,446.13 : x
  2. Step 2: Convert to fraction form
    181,565.38/272,348.09 = 48,446.13/x
  3. Step 3: Cross multiply
    181,565.38x = 272,348.09 × 48,446.13
  4. Step 4: Simplify right side
    181,565.38x = 13,194,211,094.51
  5. Step 5: Solve for x
    x = 13,194,211,094.51/181,565.38
  6. Step 6: Final answer
    x = 72,669.20

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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.