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Finding the Fourth Proportional to 83,226.87, 114,824.97 and 47,391.48

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Solution

The fourth proportional to 83,226.87, 114,824.97 and 47,391.48 is: 65,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.87 : 114,824.97 = 47,391.48 : x
  2. Step 2: Convert to fraction form
    83,226.87/114,824.97 = 47,391.48/x
  3. Step 3: Cross multiply
    83,226.87x = 114,824.97 × 47,391.48
  4. Step 4: Simplify right side
    83,226.87x = 5,441,725,269.26
  5. Step 5: Solve for x
    x = 5,441,725,269.26/83,226.87
  6. Step 6: Final answer
    x = 65,384.24

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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.