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Finding the Fourth Proportional to 83,193.92, 114,732.88 and 54,928.16

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Solution

The fourth proportional to 83,193.92, 114,732.88 and 54,928.16 is: 75,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.92 : 114,732.88 = 54,928.16 : x
  2. Step 2: Convert to fraction form
    83,193.92/114,732.88 = 54,928.16/x
  3. Step 3: Cross multiply
    83,193.92x = 114,732.88 × 54,928.16
  4. Step 4: Simplify right side
    83,193.92x = 6,302,065,989.90
  5. Step 5: Solve for x
    x = 6,302,065,989.90/83,193.92
  6. Step 6: Final answer
    x = 75,751.52

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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.