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Finding the Fourth Proportional to 31,913.19, 44,042.54 and 17,765.12

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Solution

The fourth proportional to 31,913.19, 44,042.54 and 17,765.12 is: 24,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.19 : 44,042.54 = 17,765.12 : x
  2. Step 2: Convert to fraction form
    31,913.19/44,042.54 = 17,765.12/x
  3. Step 3: Cross multiply
    31,913.19x = 44,042.54 × 17,765.12
  4. Step 4: Simplify right side
    31,913.19x = 782,421,029.49
  5. Step 5: Solve for x
    x = 782,421,029.49/31,913.19
  6. Step 6: Final answer
    x = 24,517.17

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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.