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Finding the Fourth Proportional to 82,052.96, 123,079.40 and 19,723.44

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Solution

The fourth proportional to 82,052.96, 123,079.40 and 19,723.44 is: 29,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052.96 : 123,079.40 = 19,723.44 : x
  2. Step 2: Convert to fraction form
    82,052.96/123,079.40 = 19,723.44/x
  3. Step 3: Cross multiply
    82,052.96x = 123,079.40 × 19,723.44
  4. Step 4: Simplify right side
    82,052.96x = 2,427,549,161.14
  5. Step 5: Solve for x
    x = 2,427,549,161.14/82,052.96
  6. Step 6: Final answer
    x = 29,585.15

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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.