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Finding the Fourth Proportional to 32,825.92, 49,233.92 and 12,044.48

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Solution

The fourth proportional to 32,825.92, 49,233.92 and 12,044.48 is: 18,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.92 : 49,233.92 = 12,044.48 : x
  2. Step 2: Convert to fraction form
    32,825.92/49,233.92 = 12,044.48/x
  3. Step 3: Cross multiply
    32,825.92x = 49,233.92 × 12,044.48
  4. Step 4: Simplify right side
    32,825.92x = 592,996,964.76
  5. Step 5: Solve for x
    x = 592,996,964.76/32,825.92
  6. Step 6: Final answer
    x = 18,064.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.