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Finding the Fourth Proportional to 31,378.43, 47,024.88 and 17,317.50

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Solution

The fourth proportional to 31,378.43, 47,024.88 and 17,317.50 is: 25,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.43 : 47,024.88 = 17,317.50 : x
  2. Step 2: Convert to fraction form
    31,378.43/47,024.88 = 17,317.50/x
  3. Step 3: Cross multiply
    31,378.43x = 47,024.88 × 17,317.50
  4. Step 4: Simplify right side
    31,378.43x = 814,353,359.40
  5. Step 5: Solve for x
    x = 814,353,359.40/31,378.43
  6. Step 6: Final answer
    x = 25,952.65

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Why These Related Problems?

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