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Finding the Fourth Proportional to 77,348.28, 106,759.98 and 47,523

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Solution

The fourth proportional to 77,348.28, 106,759.98 and 47,523 is: 65,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.28 : 106,759.98 = 47,523 : x
  2. Step 2: Convert to fraction form
    77,348.28/106,759.98 = 47,523/x
  3. Step 3: Cross multiply
    77,348.28x = 106,759.98 × 47,523
  4. Step 4: Simplify right side
    77,348.28x = 5,073,554,529.54
  5. Step 5: Solve for x
    x = 5,073,554,529.54/77,348.28
  6. Step 6: Final answer
    x = 65,593.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.