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Finding the Fourth Proportional to 121,191.96, 181,797.06 and 32,443.50

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Solution

The fourth proportional to 121,191.96, 181,797.06 and 32,443.50 is: 48,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,191.96 : 181,797.06 = 32,443.50 : x
  2. Step 2: Convert to fraction form
    121,191.96/181,797.06 = 32,443.50/x
  3. Step 3: Cross multiply
    121,191.96x = 181,797.06 × 32,443.50
  4. Step 4: Simplify right side
    121,191.96x = 5,898,132,916.11
  5. Step 5: Solve for x
    x = 5,898,132,916.11/121,191.96
  6. Step 6: Final answer
    x = 48,667.69

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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.