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Finding the Fourth Proportional to 32,094.52, 44,290.02 and 17,947.24

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Solution

The fourth proportional to 32,094.52, 44,290.02 and 17,947.24 is: 24,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.52 : 44,290.02 = 17,947.24 : x
  2. Step 2: Convert to fraction form
    32,094.52/44,290.02 = 17,947.24/x
  3. Step 3: Cross multiply
    32,094.52x = 44,290.02 × 17,947.24
  4. Step 4: Simplify right side
    32,094.52x = 794,883,618.54
  5. Step 5: Solve for x
    x = 794,883,618.54/32,094.52
  6. Step 6: Final answer
    x = 24,766.96

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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.