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Finding the Fourth Proportional to 35,883.30, 49,497.57 and 27,912.90

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Solution

The fourth proportional to 35,883.30, 49,497.57 and 27,912.90 is: 38,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,883.30 : 49,497.57 = 27,912.90 : x
  2. Step 2: Convert to fraction form
    35,883.30/49,497.57 = 27,912.90/x
  3. Step 3: Cross multiply
    35,883.30x = 49,497.57 × 27,912.90
  4. Step 4: Simplify right side
    35,883.30x = 1,381,620,721.65
  5. Step 5: Solve for x
    x = 1,381,620,721.65/35,883.30
  6. Step 6: Final answer
    x = 38,503.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.