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Finding the Fourth Proportional to 31,898.76, 44,019.54 and 17,751.30

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Solution

The fourth proportional to 31,898.76, 44,019.54 and 17,751.30 is: 24,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.76 : 44,019.54 = 17,751.30 : x
  2. Step 2: Convert to fraction form
    31,898.76/44,019.54 = 17,751.30/x
  3. Step 3: Cross multiply
    31,898.76x = 44,019.54 × 17,751.30
  4. Step 4: Simplify right side
    31,898.76x = 781,404,060.40
  5. Step 5: Solve for x
    x = 781,404,060.40/31,898.76
  6. Step 6: Final answer
    x = 24,496.38

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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.