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Finding the Fourth Proportional to 83,321.92, 114,984.16 and 45,596.16

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Solution

The fourth proportional to 83,321.92, 114,984.16 and 45,596.16 is: 62,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.92 : 114,984.16 = 45,596.16 : x
  2. Step 2: Convert to fraction form
    83,321.92/114,984.16 = 45,596.16/x
  3. Step 3: Cross multiply
    83,321.92x = 114,984.16 × 45,596.16
  4. Step 4: Simplify right side
    83,321.92x = 5,242,836,156.83
  5. Step 5: Solve for x
    x = 5,242,836,156.83/83,321.92
  6. Step 6: Final answer
    x = 62,922.65

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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.