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Finding the Fourth Proportional to 48,031.92, 72,048.92 and 12,494.61

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Solution

The fourth proportional to 48,031.92, 72,048.92 and 12,494.61 is: 18,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,031.92 : 72,048.92 = 12,494.61 : x
  2. Step 2: Convert to fraction form
    48,031.92/72,048.92 = 12,494.61/x
  3. Step 3: Cross multiply
    48,031.92x = 72,048.92 × 12,494.61
  4. Step 4: Simplify right side
    48,031.92x = 900,223,093.85
  5. Step 5: Solve for x
    x = 900,223,093.85/48,031.92
  6. Step 6: Final answer
    x = 18,742.18

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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.