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Finding the Fourth Proportional to 82,230.70, 123,346.05 and 19,901.20

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Solution

The fourth proportional to 82,230.70, 123,346.05 and 19,901.20 is: 29,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,230.70 : 123,346.05 = 19,901.20 : x
  2. Step 2: Convert to fraction form
    82,230.70/123,346.05 = 19,901.20/x
  3. Step 3: Cross multiply
    82,230.70x = 123,346.05 × 19,901.20
  4. Step 4: Simplify right side
    82,230.70x = 2,454,734,410.26
  5. Step 5: Solve for x
    x = 2,454,734,410.26/82,230.70
  6. Step 6: Final answer
    x = 29,851.80

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Similar ratio
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1.5x scale

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.