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Finding the Fourth Proportional to 31,967.92, 47,950.14 and 9,781.29

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Solution

The fourth proportional to 31,967.92, 47,950.14 and 9,781.29 is: 14,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.92 : 47,950.14 = 9,781.29 : x
  2. Step 2: Convert to fraction form
    31,967.92/47,950.14 = 9,781.29/x
  3. Step 3: Cross multiply
    31,967.92x = 47,950.14 × 9,781.29
  4. Step 4: Simplify right side
    31,967.92x = 469,014,224.88
  5. Step 5: Solve for x
    x = 469,014,224.88/31,967.92
  6. Step 6: Final answer
    x = 14,671.40

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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.