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Finding the Fourth Proportional to 38,065.50, 52,480.02 and 31,234.50

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Solution

The fourth proportional to 38,065.50, 52,480.02 and 31,234.50 is: 43,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.50 : 52,480.02 = 31,234.50 : x
  2. Step 2: Convert to fraction form
    38,065.50/52,480.02 = 31,234.50/x
  3. Step 3: Cross multiply
    38,065.50x = 52,480.02 × 31,234.50
  4. Step 4: Simplify right side
    38,065.50x = 1,639,187,184.69
  5. Step 5: Solve for x
    x = 1,639,187,184.69/38,065.50
  6. Step 6: Final answer
    x = 43,062.28

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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.