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Finding the Fourth Proportional to 115,256, 172,913.20 and 32,150

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Solution

The fourth proportional to 115,256, 172,913.20 and 32,150 is: 48,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,256 : 172,913.20 = 32,150 : x
  2. Step 2: Convert to fraction form
    115,256/172,913.20 = 32,150/x
  3. Step 3: Cross multiply
    115,256x = 172,913.20 × 32,150
  4. Step 4: Simplify right side
    115,256x = 5,559,159,380
  5. Step 5: Solve for x
    x = 5,559,159,380/115,256
  6. Step 6: Final answer
    x = 48,233.15

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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.