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Finding the Fourth Proportional to 75,843.20, 113,764.80 and 46,318.70

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Solution

The fourth proportional to 75,843.20, 113,764.80 and 46,318.70 is: 69,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.20 : 113,764.80 = 46,318.70 : x
  2. Step 2: Convert to fraction form
    75,843.20/113,764.80 = 46,318.70/x
  3. Step 3: Cross multiply
    75,843.20x = 113,764.80 × 46,318.70
  4. Step 4: Simplify right side
    75,843.20x = 5,269,437,641.76
  5. Step 5: Solve for x
    x = 5,269,437,641.76/75,843.20
  6. Step 6: Final answer
    x = 69,478.05

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.