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Finding the Fourth Proportional to 31,575.71, 43,574.26 and 17,428.55

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Solution

The fourth proportional to 31,575.71, 43,574.26 and 17,428.55 is: 24,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.71 : 43,574.26 = 17,428.55 : x
  2. Step 2: Convert to fraction form
    31,575.71/43,574.26 = 17,428.55/x
  3. Step 3: Cross multiply
    31,575.71x = 43,574.26 × 17,428.55
  4. Step 4: Simplify right side
    31,575.71x = 759,436,169.12
  5. Step 5: Solve for x
    x = 759,436,169.12/31,575.71
  6. Step 6: Final answer
    x = 24,051.28

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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.