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Finding the Fourth Proportional to 82,523.71, 123,803.34 and 26,350.62

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Solution

The fourth proportional to 82,523.71, 123,803.34 and 26,350.62 is: 39,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.71 : 123,803.34 = 26,350.62 : x
  2. Step 2: Convert to fraction form
    82,523.71/123,803.34 = 26,350.62/x
  3. Step 3: Cross multiply
    82,523.71x = 123,803.34 × 26,350.62
  4. Step 4: Simplify right side
    82,523.71x = 3,262,294,203.99
  5. Step 5: Solve for x
    x = 3,262,294,203.99/82,523.71
  6. Step 6: Final answer
    x = 39,531.60

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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.