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Finding the Fourth Proportional to 101,321.84, 151,959.65 and 38,148.62

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Solution

The fourth proportional to 101,321.84, 151,959.65 and 38,148.62 is: 57,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,321.84 : 151,959.65 = 38,148.62 : x
  2. Step 2: Convert to fraction form
    101,321.84/151,959.65 = 38,148.62/x
  3. Step 3: Cross multiply
    101,321.84x = 151,959.65 × 38,148.62
  4. Step 4: Simplify right side
    101,321.84x = 5,797,050,847.41
  5. Step 5: Solve for x
    x = 5,797,050,847.41/101,321.84
  6. Step 6: Final answer
    x = 57,214.23

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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.