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Finding the Fourth Proportional to 31,747, 43,810.86 and 17,602

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Solution

The fourth proportional to 31,747, 43,810.86 and 17,602 is: 24,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747 : 43,810.86 = 17,602 : x
  2. Step 2: Convert to fraction form
    31,747/43,810.86 = 17,602/x
  3. Step 3: Cross multiply
    31,747x = 43,810.86 × 17,602
  4. Step 4: Simplify right side
    31,747x = 771,158,757.72
  5. Step 5: Solve for x
    x = 771,158,757.72/31,747
  6. Step 6: Final answer
    x = 24,290.76

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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.