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Finding the Fourth Proportional to 115,221.13, 172,831.80 and 32,115.13

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Solution

The fourth proportional to 115,221.13, 172,831.80 and 32,115.13 is: 48,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,221.13 : 172,831.80 = 32,115.13 : x
  2. Step 2: Convert to fraction form
    115,221.13/172,831.80 = 32,115.13/x
  3. Step 3: Cross multiply
    115,221.13x = 172,831.80 × 32,115.13
  4. Step 4: Simplify right side
    115,221.13x = 5,550,515,725.13
  5. Step 5: Solve for x
    x = 5,550,515,725.13/115,221.13
  6. Step 6: Final answer
    x = 48,172.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.