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Finding the Fourth Proportional to 31,061.34, 46,550.49 and 11,321.34

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Solution

The fourth proportional to 31,061.34, 46,550.49 and 11,321.34 is: 16,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.34 : 46,550.49 = 11,321.34 : x
  2. Step 2: Convert to fraction form
    31,061.34/46,550.49 = 11,321.34/x
  3. Step 3: Cross multiply
    31,061.34x = 46,550.49 × 11,321.34
  4. Step 4: Simplify right side
    31,061.34x = 527,013,924.46
  5. Step 5: Solve for x
    x = 527,013,924.46/31,061.34
  6. Step 6: Final answer
    x = 16,966.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.