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Finding the Fourth Proportional to 31,459.68, 43,462.08 and 23,488.11

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Solution

The fourth proportional to 31,459.68, 43,462.08 and 23,488.11 is: 32,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.68 : 43,462.08 = 23,488.11 : x
  2. Step 2: Convert to fraction form
    31,459.68/43,462.08 = 23,488.11/x
  3. Step 3: Cross multiply
    31,459.68x = 43,462.08 × 23,488.11
  4. Step 4: Simplify right side
    31,459.68x = 1,020,842,115.87
  5. Step 5: Solve for x
    x = 1,020,842,115.87/31,459.68
  6. Step 6: Final answer
    x = 32,449.22

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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.