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Finding the Fourth Proportional to 31,384.38, 43,299.84 and 17,946.06

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Solution

The fourth proportional to 31,384.38, 43,299.84 and 17,946.06 is: 24,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.38 : 43,299.84 = 17,946.06 : x
  2. Step 2: Convert to fraction form
    31,384.38/43,299.84 = 17,946.06/x
  3. Step 3: Cross multiply
    31,384.38x = 43,299.84 × 17,946.06
  4. Step 4: Simplify right side
    31,384.38x = 777,061,526.63
  5. Step 5: Solve for x
    x = 777,061,526.63/31,384.38
  6. Step 6: Final answer
    x = 24,759.50

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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.