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Finding the Fourth Proportional to 83,145, 124,718.58 and 27,741

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Solution

The fourth proportional to 83,145, 124,718.58 and 27,741 is: 41,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145 : 124,718.58 = 27,741 : x
  2. Step 2: Convert to fraction form
    83,145/124,718.58 = 27,741/x
  3. Step 3: Cross multiply
    83,145x = 124,718.58 × 27,741
  4. Step 4: Simplify right side
    83,145x = 3,459,818,127.78
  5. Step 5: Solve for x
    x = 3,459,818,127.78/83,145
  6. Step 6: Final answer
    x = 41,611.86

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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.