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Finding the Fourth Proportional to 31,886.26, 47,834.62 and 9,694.49

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Solution

The fourth proportional to 31,886.26, 47,834.62 and 9,694.49 is: 14,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.26 : 47,834.62 = 9,694.49 : x
  2. Step 2: Convert to fraction form
    31,886.26/47,834.62 = 9,694.49/x
  3. Step 3: Cross multiply
    31,886.26x = 47,834.62 × 9,694.49
  4. Step 4: Simplify right side
    31,886.26x = 463,731,981.83
  5. Step 5: Solve for x
    x = 463,731,981.83/31,886.26
  6. Step 6: Final answer
    x = 14,543.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.