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Finding the Fourth Proportional to 31,733.19, 43,787.19 and 17,586

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Solution

The fourth proportional to 31,733.19, 43,787.19 and 17,586 is: 24,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,733.19 : 43,787.19 = 17,586 : x
  2. Step 2: Convert to fraction form
    31,733.19/43,787.19 = 17,586/x
  3. Step 3: Cross multiply
    31,733.19x = 43,787.19 × 17,586
  4. Step 4: Simplify right side
    31,733.19x = 770,041,523.34
  5. Step 5: Solve for x
    x = 770,041,523.34/31,733.19
  6. Step 6: Final answer
    x = 24,266.12

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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.