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Finding the Fourth Proportional to 83,820.56, 125,813.45 and 61,571.48

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Solution

The fourth proportional to 83,820.56, 125,813.45 and 61,571.48 is: 92,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.56 : 125,813.45 = 61,571.48 : x
  2. Step 2: Convert to fraction form
    83,820.56/125,813.45 = 61,571.48/x
  3. Step 3: Cross multiply
    83,820.56x = 125,813.45 × 61,571.48
  4. Step 4: Simplify right side
    83,820.56x = 7,746,519,845.27
  5. Step 5: Solve for x
    x = 7,746,519,845.27/83,820.56
  6. Step 6: Final answer
    x = 92,417.90

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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.