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Finding the Fourth Proportional to 83,393.28, 115,096.14 and 47,584.80

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Solution

The fourth proportional to 83,393.28, 115,096.14 and 47,584.80 is: 65,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,393.28 : 115,096.14 = 47,584.80 : x
  2. Step 2: Convert to fraction form
    83,393.28/115,096.14 = 47,584.80/x
  3. Step 3: Cross multiply
    83,393.28x = 115,096.14 × 47,584.80
  4. Step 4: Simplify right side
    83,393.28x = 5,476,826,802.67
  5. Step 5: Solve for x
    x = 5,476,826,802.67/83,393.28
  6. Step 6: Final answer
    x = 65,674.68

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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.