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Finding the Fourth Proportional to 83,219.69, 114,843.17 and 45,493.94

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Solution

The fourth proportional to 83,219.69, 114,843.17 and 45,493.94 is: 62,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,219.69 : 114,843.17 = 45,493.94 : x
  2. Step 2: Convert to fraction form
    83,219.69/114,843.17 = 45,493.94/x
  3. Step 3: Cross multiply
    83,219.69x = 114,843.17 × 45,493.94
  4. Step 4: Simplify right side
    83,219.69x = 5,224,668,285.39
  5. Step 5: Solve for x
    x = 5,224,668,285.39/83,219.69
  6. Step 6: Final answer
    x = 62,781.64

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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.