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Finding the Fourth Proportional to 31,886.67, 44,006.27 and 17,742.18

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Solution

The fourth proportional to 31,886.67, 44,006.27 and 17,742.18 is: 24,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.67 : 44,006.27 = 17,742.18 : x
  2. Step 2: Convert to fraction form
    31,886.67/44,006.27 = 17,742.18/x
  3. Step 3: Cross multiply
    31,886.67x = 44,006.27 × 17,742.18
  4. Step 4: Simplify right side
    31,886.67x = 780,767,074.76
  5. Step 5: Solve for x
    x = 780,767,074.76/31,886.67
  6. Step 6: Final answer
    x = 24,485.69

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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.