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Finding the Fourth Proportional to 31,857.68, 43,958.28 and 17,710.16

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Solution

The fourth proportional to 31,857.68, 43,958.28 and 17,710.16 is: 24,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.68 : 43,958.28 = 17,710.16 : x
  2. Step 2: Convert to fraction form
    31,857.68/43,958.28 = 17,710.16/x
  3. Step 3: Cross multiply
    31,857.68x = 43,958.28 × 17,710.16
  4. Step 4: Simplify right side
    31,857.68x = 778,508,172.12
  5. Step 5: Solve for x
    x = 778,508,172.12/31,857.68
  6. Step 6: Final answer
    x = 24,437.06

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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.