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Finding the Fourth Proportional to 31,511.80, 47,267.70 and 15,927.40

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Solution

The fourth proportional to 31,511.80, 47,267.70 and 15,927.40 is: 23,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.80 : 47,267.70 = 15,927.40 : x
  2. Step 2: Convert to fraction form
    31,511.80/47,267.70 = 15,927.40/x
  3. Step 3: Cross multiply
    31,511.80x = 47,267.70 × 15,927.40
  4. Step 4: Simplify right side
    31,511.80x = 752,851,564.98
  5. Step 5: Solve for x
    x = 752,851,564.98/31,511.80
  6. Step 6: Final answer
    x = 23,891.10

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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.