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Finding the Fourth Proportional to 102,130.47, 153,195.71 and 32,015.25

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Solution

The fourth proportional to 102,130.47, 153,195.71 and 32,015.25 is: 48,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130.47 : 153,195.71 = 32,015.25 : x
  2. Step 2: Convert to fraction form
    102,130.47/153,195.71 = 32,015.25/x
  3. Step 3: Cross multiply
    102,130.47x = 153,195.71 × 32,015.25
  4. Step 4: Simplify right side
    102,130.47x = 4,904,598,794.50
  5. Step 5: Solve for x
    x = 4,904,598,794.50/102,130.47
  6. Step 6: Final answer
    x = 48,022.88

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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.