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Finding the Fourth Proportional to 32,049.92, 44,227.44 and 17,900

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Solution

The fourth proportional to 32,049.92, 44,227.44 and 17,900 is: 24,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.92 : 44,227.44 = 17,900 : x
  2. Step 2: Convert to fraction form
    32,049.92/44,227.44 = 17,900/x
  3. Step 3: Cross multiply
    32,049.92x = 44,227.44 × 17,900
  4. Step 4: Simplify right side
    32,049.92x = 791,671,176
  5. Step 5: Solve for x
    x = 791,671,176/32,049.92
  6. Step 6: Final answer
    x = 24,701.19

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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.