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Finding the Fourth Proportional to 31,569.50, 47,354.34 and 8,196.14

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Solution

The fourth proportional to 31,569.50, 47,354.34 and 8,196.14 is: 12,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.50 : 47,354.34 = 8,196.14 : x
  2. Step 2: Convert to fraction form
    31,569.50/47,354.34 = 8,196.14/x
  3. Step 3: Cross multiply
    31,569.50x = 47,354.34 × 8,196.14
  4. Step 4: Simplify right side
    31,569.50x = 388,122,800.25
  5. Step 5: Solve for x
    x = 388,122,800.25/31,569.50
  6. Step 6: Final answer
    x = 12,294.23

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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.