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Finding the Fourth Proportional to 83,213.68, 114,806.84 and 47,378.34

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Solution

The fourth proportional to 83,213.68, 114,806.84 and 47,378.34 is: 65,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.68 : 114,806.84 = 47,378.34 : x
  2. Step 2: Convert to fraction form
    83,213.68/114,806.84 = 47,378.34/x
  3. Step 3: Cross multiply
    83,213.68x = 114,806.84 × 47,378.34
  4. Step 4: Simplify right side
    83,213.68x = 5,439,357,499.85
  5. Step 5: Solve for x
    x = 5,439,357,499.85/83,213.68
  6. Step 6: Final answer
    x = 65,366.15

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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.