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Finding the Fourth Proportional to 31,746.98, 43,810.89 and 17,599.82

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Solution

The fourth proportional to 31,746.98, 43,810.89 and 17,599.82 is: 24,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.98 : 43,810.89 = 17,599.82 : x
  2. Step 2: Convert to fraction form
    31,746.98/43,810.89 = 17,599.82/x
  3. Step 3: Cross multiply
    31,746.98x = 43,810.89 × 17,599.82
  4. Step 4: Simplify right side
    31,746.98x = 771,063,778.04
  5. Step 5: Solve for x
    x = 771,063,778.04/31,746.98
  6. Step 6: Final answer
    x = 24,287.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.