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Finding the Fourth Proportional to 52,054.16, 71,766.92 and 33,184.40

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Solution

The fourth proportional to 52,054.16, 71,766.92 and 33,184.40 is: 45,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,054.16 : 71,766.92 = 33,184.40 : x
  2. Step 2: Convert to fraction form
    52,054.16/71,766.92 = 33,184.40/x
  3. Step 3: Cross multiply
    52,054.16x = 71,766.92 × 33,184.40
  4. Step 4: Simplify right side
    52,054.16x = 2,381,542,180.05
  5. Step 5: Solve for x
    x = 2,381,542,180.05/52,054.16
  6. Step 6: Final answer
    x = 45,751.24

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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.