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Finding the Fourth Proportional to 31,947.66, 47,907.50 and 9,755.91

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Solution

The fourth proportional to 31,947.66, 47,907.50 and 9,755.91 is: 14,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.66 : 47,907.50 = 9,755.91 : x
  2. Step 2: Convert to fraction form
    31,947.66/47,907.50 = 9,755.91/x
  3. Step 3: Cross multiply
    31,947.66x = 47,907.50 × 9,755.91
  4. Step 4: Simplify right side
    31,947.66x = 467,381,209.55
  5. Step 5: Solve for x
    x = 467,381,209.55/31,947.66
  6. Step 6: Final answer
    x = 14,629.59

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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.