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Finding the Fourth Proportional to 31,493, 43,459.68 and 17,345.96

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Solution

The fourth proportional to 31,493, 43,459.68 and 17,345.96 is: 23,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493 : 43,459.68 = 17,345.96 : x
  2. Step 2: Convert to fraction form
    31,493/43,459.68 = 17,345.96/x
  3. Step 3: Cross multiply
    31,493x = 43,459.68 × 17,345.96
  4. Step 4: Simplify right side
    31,493x = 753,849,870.89
  5. Step 5: Solve for x
    x = 753,849,870.89/31,493
  6. Step 6: Final answer
    x = 23,937.06

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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.