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Finding the Fourth Proportional to 73,480.18, 110,217.84 and 31,927.18

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Solution

The fourth proportional to 73,480.18, 110,217.84 and 31,927.18 is: 47,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,480.18 : 110,217.84 = 31,927.18 : x
  2. Step 2: Convert to fraction form
    73,480.18/110,217.84 = 31,927.18/x
  3. Step 3: Cross multiply
    73,480.18x = 110,217.84 × 31,927.18
  4. Step 4: Simplify right side
    73,480.18x = 3,518,944,816.89
  5. Step 5: Solve for x
    x = 3,518,944,816.89/73,480.18
  6. Step 6: Final answer
    x = 47,889.71

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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.