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Finding the Fourth Proportional to 83,214.50, 114,836.42 and 45,488.75

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Solution

The fourth proportional to 83,214.50, 114,836.42 and 45,488.75 is: 62,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.50 : 114,836.42 = 45,488.75 : x
  2. Step 2: Convert to fraction form
    83,214.50/114,836.42 = 45,488.75/x
  3. Step 3: Cross multiply
    83,214.50x = 114,836.42 × 45,488.75
  4. Step 4: Simplify right side
    83,214.50x = 5,223,765,200.28
  5. Step 5: Solve for x
    x = 5,223,765,200.28/83,214.50
  6. Step 6: Final answer
    x = 62,774.70

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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.