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Finding the Fourth Proportional to 32,947.50, 49,415.69 and 9,249.61

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Solution

The fourth proportional to 32,947.50, 49,415.69 and 9,249.61 is: 13,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.50 : 49,415.69 = 9,249.61 : x
  2. Step 2: Convert to fraction form
    32,947.50/49,415.69 = 9,249.61/x
  3. Step 3: Cross multiply
    32,947.50x = 49,415.69 × 9,249.61
  4. Step 4: Simplify right side
    32,947.50x = 457,075,860.38
  5. Step 5: Solve for x
    x = 457,075,860.38/32,947.50
  6. Step 6: Final answer
    x = 13,872.85

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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.