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Finding the Fourth Proportional to 29,797.85, 44,686.76 and 12,023.92

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Solution

The fourth proportional to 29,797.85, 44,686.76 and 12,023.92 is: 18,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.85 : 44,686.76 = 12,023.92 : x
  2. Step 2: Convert to fraction form
    29,797.85/44,686.76 = 12,023.92/x
  3. Step 3: Cross multiply
    29,797.85x = 44,686.76 × 12,023.92
  4. Step 4: Simplify right side
    29,797.85x = 537,309,743.75
  5. Step 5: Solve for x
    x = 537,309,743.75/29,797.85
  6. Step 6: Final answer
    x = 18,031.83

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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.