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Finding the Fourth Proportional to 82,663.84, 124,003.92 and 26,489.80

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Solution

The fourth proportional to 82,663.84, 124,003.92 and 26,489.80 is: 39,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.84 : 124,003.92 = 26,489.80 : x
  2. Step 2: Convert to fraction form
    82,663.84/124,003.92 = 26,489.80/x
  3. Step 3: Cross multiply
    82,663.84x = 124,003.92 × 26,489.80
  4. Step 4: Simplify right side
    82,663.84x = 3,284,839,040.02
  5. Step 5: Solve for x
    x = 3,284,839,040.02/82,663.84
  6. Step 6: Final answer
    x = 39,737.31

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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.