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Finding the Fourth Proportional to 83,166.75, 114,770.93 and 45,441

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Solution

The fourth proportional to 83,166.75, 114,770.93 and 45,441 is: 62,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166.75 : 114,770.93 = 45,441 : x
  2. Step 2: Convert to fraction form
    83,166.75/114,770.93 = 45,441/x
  3. Step 3: Cross multiply
    83,166.75x = 114,770.93 × 45,441
  4. Step 4: Simplify right side
    83,166.75x = 5,215,305,602.93
  5. Step 5: Solve for x
    x = 5,215,305,602.93/83,166.75
  6. Step 6: Final answer
    x = 62,709.02

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1.5x scale

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.