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Finding the Fourth Proportional to 82,245.36, 123,387.44 and 26,088

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Solution

The fourth proportional to 82,245.36, 123,387.44 and 26,088 is: 39,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245.36 : 123,387.44 = 26,088 : x
  2. Step 2: Convert to fraction form
    82,245.36/123,387.44 = 26,088/x
  3. Step 3: Cross multiply
    82,245.36x = 123,387.44 × 26,088
  4. Step 4: Simplify right side
    82,245.36x = 3,218,931,534.72
  5. Step 5: Solve for x
    x = 3,218,931,534.72/82,245.36
  6. Step 6: Final answer
    x = 39,138.15

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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.