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Finding the Fourth Proportional to 31,376.57, 43,298.35 and 17,228.50

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Solution

The fourth proportional to 31,376.57, 43,298.35 and 17,228.50 is: 23,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.57 : 43,298.35 = 17,228.50 : x
  2. Step 2: Convert to fraction form
    31,376.57/43,298.35 = 17,228.50/x
  3. Step 3: Cross multiply
    31,376.57x = 43,298.35 × 17,228.50
  4. Step 4: Simplify right side
    31,376.57x = 745,965,471.66
  5. Step 5: Solve for x
    x = 745,965,471.66/31,376.57
  6. Step 6: Final answer
    x = 23,774.61

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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.