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Finding the Fourth Proportional to 83,322.76, 124,997.16 and 27,149.84

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Solution

The fourth proportional to 83,322.76, 124,997.16 and 27,149.84 is: 40,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.76 : 124,997.16 = 27,149.84 : x
  2. Step 2: Convert to fraction form
    83,322.76/124,997.16 = 27,149.84/x
  3. Step 3: Cross multiply
    83,322.76x = 124,997.16 × 27,149.84
  4. Step 4: Simplify right side
    83,322.76x = 3,393,652,894.45
  5. Step 5: Solve for x
    x = 3,393,652,894.45/83,322.76
  6. Step 6: Final answer
    x = 40,729.00

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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.