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Finding the Fourth Proportional to 31,387.80, 47,084.40 and 10,321.50

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Solution

The fourth proportional to 31,387.80, 47,084.40 and 10,321.50 is: 15,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.80 : 47,084.40 = 10,321.50 : x
  2. Step 2: Convert to fraction form
    31,387.80/47,084.40 = 10,321.50/x
  3. Step 3: Cross multiply
    31,387.80x = 47,084.40 × 10,321.50
  4. Step 4: Simplify right side
    31,387.80x = 485,981,634.60
  5. Step 5: Solve for x
    x = 485,981,634.60/31,387.80
  6. Step 6: Final answer
    x = 15,483.14

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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.