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Finding the Fourth Proportional to 31,385.71, 43,312.13 and 17,045.44

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Solution

The fourth proportional to 31,385.71, 43,312.13 and 17,045.44 is: 23,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.71 : 43,312.13 = 17,045.44 : x
  2. Step 2: Convert to fraction form
    31,385.71/43,312.13 = 17,045.44/x
  3. Step 3: Cross multiply
    31,385.71x = 43,312.13 × 17,045.44
  4. Step 4: Simplify right side
    31,385.71x = 738,274,011.40
  5. Step 5: Solve for x
    x = 738,274,011.40/31,385.71
  6. Step 6: Final answer
    x = 23,522.62

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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.