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Finding the Fourth Proportional to 83,000, 124,501.08 and 27,596

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Solution

The fourth proportional to 83,000, 124,501.08 and 27,596 is: 41,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000 : 124,501.08 = 27,596 : x
  2. Step 2: Convert to fraction form
    83,000/124,501.08 = 27,596/x
  3. Step 3: Cross multiply
    83,000x = 124,501.08 × 27,596
  4. Step 4: Simplify right side
    83,000x = 3,435,731,803.68
  5. Step 5: Solve for x
    x = 3,435,731,803.68/83,000
  6. Step 6: Final answer
    x = 41,394.36

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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.