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Finding the Fourth Proportional to 98,760.70, 148,164.48 and 32,201.20

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Solution

The fourth proportional to 98,760.70, 148,164.48 and 32,201.20 is: 48,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,760.70 : 148,164.48 = 32,201.20 : x
  2. Step 2: Convert to fraction form
    98,760.70/148,164.48 = 32,201.20/x
  3. Step 3: Cross multiply
    98,760.70x = 148,164.48 × 32,201.20
  4. Step 4: Simplify right side
    98,760.70x = 4,771,074,053.38
  5. Step 5: Solve for x
    x = 4,771,074,053.38/98,760.70
  6. Step 6: Final answer
    x = 48,309.44

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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.