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Finding the Fourth Proportional to 31,059.05, 42,865.35 and 17,634.65

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Solution

The fourth proportional to 31,059.05, 42,865.35 and 17,634.65 is: 24,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.05 : 42,865.35 = 17,634.65 : x
  2. Step 2: Convert to fraction form
    31,059.05/42,865.35 = 17,634.65/x
  3. Step 3: Cross multiply
    31,059.05x = 42,865.35 × 17,634.65
  4. Step 4: Simplify right side
    31,059.05x = 755,915,444.38
  5. Step 5: Solve for x
    x = 755,915,444.38/31,059.05
  6. Step 6: Final answer
    x = 24,338.01

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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.