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Finding the Fourth Proportional to 106,932.75, 147,600.05 and 61,641.01

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Solution

The fourth proportional to 106,932.75, 147,600.05 and 61,641.01 is: 85,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,932.75 : 147,600.05 = 61,641.01 : x
  2. Step 2: Convert to fraction form
    106,932.75/147,600.05 = 61,641.01/x
  3. Step 3: Cross multiply
    106,932.75x = 147,600.05 × 61,641.01
  4. Step 4: Simplify right side
    106,932.75x = 9,098,215,480.85
  5. Step 5: Solve for x
    x = 9,098,215,480.85/106,932.75
  6. Step 6: Final answer
    x = 85,083.53

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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.