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Finding the Fourth Proportional to 31,520.87, 47,296.32 and 19,671.42

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Solution

The fourth proportional to 31,520.87, 47,296.32 and 19,671.42 is: 29,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.87 : 47,296.32 = 19,671.42 : x
  2. Step 2: Convert to fraction form
    31,520.87/47,296.32 = 19,671.42/x
  3. Step 3: Cross multiply
    31,520.87x = 47,296.32 × 19,671.42
  4. Step 4: Simplify right side
    31,520.87x = 930,385,775.17
  5. Step 5: Solve for x
    x = 930,385,775.17/31,520.87
  6. Step 6: Final answer
    x = 29,516.50

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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.