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Finding the Fourth Proportional to 121,171.50, 181,743.33 and 32,431.93

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Solution

The fourth proportional to 121,171.50, 181,743.33 and 32,431.93 is: 48,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,171.50 : 181,743.33 = 32,431.93 : x
  2. Step 2: Convert to fraction form
    121,171.50/181,743.33 = 32,431.93/x
  3. Step 3: Cross multiply
    121,171.50x = 181,743.33 × 32,431.93
  4. Step 4: Simplify right side
    121,171.50x = 5,894,286,956.53
  5. Step 5: Solve for x
    x = 5,894,286,956.53/121,171.50
  6. Step 6: Final answer
    x = 48,644.17

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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.