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Finding the Fourth Proportional to 82,478.16, 123,703.20 and 27,074.16

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Solution

The fourth proportional to 82,478.16, 123,703.20 and 27,074.16 is: 40,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478.16 : 123,703.20 = 27,074.16 : x
  2. Step 2: Convert to fraction form
    82,478.16/123,703.20 = 27,074.16/x
  3. Step 3: Cross multiply
    82,478.16x = 123,703.20 × 27,074.16
  4. Step 4: Simplify right side
    82,478.16x = 3,349,160,229.31
  5. Step 5: Solve for x
    x = 3,349,160,229.31/82,478.16
  6. Step 6: Final answer
    x = 40,606.63

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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.