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Finding the Fourth Proportional to 82,227.32, 123,345.02 and 26,823.32

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Solution

The fourth proportional to 82,227.32, 123,345.02 and 26,823.32 is: 40,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227.32 : 123,345.02 = 26,823.32 : x
  2. Step 2: Convert to fraction form
    82,227.32/123,345.02 = 26,823.32/x
  3. Step 3: Cross multiply
    82,227.32x = 123,345.02 × 26,823.32
  4. Step 4: Simplify right side
    82,227.32x = 3,308,522,807.75
  5. Step 5: Solve for x
    x = 3,308,522,807.75/82,227.32
  6. Step 6: Final answer
    x = 40,236.30

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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.