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Finding the Fourth Proportional to 121,169.59, 181,741.49 and 32,432.07

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Solution

The fourth proportional to 121,169.59, 181,741.49 and 32,432.07 is: 48,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,169.59 : 181,741.49 = 32,432.07 : x
  2. Step 2: Convert to fraction form
    121,169.59/181,741.49 = 32,432.07/x
  3. Step 3: Cross multiply
    121,169.59x = 181,741.49 × 32,432.07
  4. Step 4: Simplify right side
    121,169.59x = 5,894,252,725.58
  5. Step 5: Solve for x
    x = 5,894,252,725.58/121,169.59
  6. Step 6: Final answer
    x = 48,644.65

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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.