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Finding the Fourth Proportional to 32,716.80, 49,075.20 and 9,340.20

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Solution

The fourth proportional to 32,716.80, 49,075.20 and 9,340.20 is: 14,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716.80 : 49,075.20 = 9,340.20 : x
  2. Step 2: Convert to fraction form
    32,716.80/49,075.20 = 9,340.20/x
  3. Step 3: Cross multiply
    32,716.80x = 49,075.20 × 9,340.20
  4. Step 4: Simplify right side
    32,716.80x = 458,372,183.04
  5. Step 5: Solve for x
    x = 458,372,183.04/32,716.80
  6. Step 6: Final answer
    x = 14,010.30

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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.