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Finding the Fourth Proportional to 69,686.15, 96,206.76 and 45,882

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Solution

The fourth proportional to 69,686.15, 96,206.76 and 45,882 is: 63,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,686.15 : 96,206.76 = 45,882 : x
  2. Step 2: Convert to fraction form
    69,686.15/96,206.76 = 45,882/x
  3. Step 3: Cross multiply
    69,686.15x = 96,206.76 × 45,882
  4. Step 4: Simplify right side
    69,686.15x = 4,414,158,562.32
  5. Step 5: Solve for x
    x = 4,414,158,562.32/69,686.15
  6. Step 6: Final answer
    x = 63,343.42

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