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Finding the Fourth Proportional to 31,609.68, 43,621.92 and 17,461.68

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Solution

The fourth proportional to 31,609.68, 43,621.92 and 17,461.68 is: 24,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.68 : 43,621.92 = 17,461.68 : x
  2. Step 2: Convert to fraction form
    31,609.68/43,621.92 = 17,461.68/x
  3. Step 3: Cross multiply
    31,609.68x = 43,621.92 × 17,461.68
  4. Step 4: Simplify right side
    31,609.68x = 761,712,008.03
  5. Step 5: Solve for x
    x = 761,712,008.03/31,609.68
  6. Step 6: Final answer
    x = 24,097.43

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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.