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Finding the Fourth Proportional to 83,221.75, 114,846.02 and 45,496

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Solution

The fourth proportional to 83,221.75, 114,846.02 and 45,496 is: 62,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.75 : 114,846.02 = 45,496 : x
  2. Step 2: Convert to fraction form
    83,221.75/114,846.02 = 45,496/x
  3. Step 3: Cross multiply
    83,221.75x = 114,846.02 × 45,496
  4. Step 4: Simplify right side
    83,221.75x = 5,225,034,525.92
  5. Step 5: Solve for x
    x = 5,225,034,525.92/83,221.75
  6. Step 6: Final answer
    x = 62,784.48

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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.