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Finding the Fourth Proportional to 83,194.75, 114,808.75 and 45,469

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Solution

The fourth proportional to 83,194.75, 114,808.75 and 45,469 is: 62,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194.75 : 114,808.75 = 45,469 : x
  2. Step 2: Convert to fraction form
    83,194.75/114,808.75 = 45,469/x
  3. Step 3: Cross multiply
    83,194.75x = 114,808.75 × 45,469
  4. Step 4: Simplify right side
    83,194.75x = 5,220,239,053.75
  5. Step 5: Solve for x
    x = 5,220,239,053.75/83,194.75
  6. Step 6: Final answer
    x = 62,747.22

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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.