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Finding the Fourth Proportional to 32,103.92, 44,305.08 and 17,957

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Solution

The fourth proportional to 32,103.92, 44,305.08 and 17,957 is: 24,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.92 : 44,305.08 = 17,957 : x
  2. Step 2: Convert to fraction form
    32,103.92/44,305.08 = 17,957/x
  3. Step 3: Cross multiply
    32,103.92x = 44,305.08 × 17,957
  4. Step 4: Simplify right side
    32,103.92x = 795,586,321.56
  5. Step 5: Solve for x
    x = 795,586,321.56/32,103.92
  6. Step 6: Final answer
    x = 24,781.59

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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.