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Finding the Fourth Proportional to 31,654.29, 43,682.18 and 17,506.83

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Solution

The fourth proportional to 31,654.29, 43,682.18 and 17,506.83 is: 24,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.29 : 43,682.18 = 17,506.83 : x
  2. Step 2: Convert to fraction form
    31,654.29/43,682.18 = 17,506.83/x
  3. Step 3: Cross multiply
    31,654.29x = 43,682.18 × 17,506.83
  4. Step 4: Simplify right side
    31,654.29x = 764,736,411.76
  5. Step 5: Solve for x
    x = 764,736,411.76/31,654.29
  6. Step 6: Final answer
    x = 24,159.01

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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.