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Finding the Fourth Proportional to 32,699.84, 49,049.88 and 8,075.84

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Solution

The fourth proportional to 32,699.84, 49,049.88 and 8,075.84 is: 12,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.84 : 49,049.88 = 8,075.84 : x
  2. Step 2: Convert to fraction form
    32,699.84/49,049.88 = 8,075.84/x
  3. Step 3: Cross multiply
    32,699.84x = 49,049.88 × 8,075.84
  4. Step 4: Simplify right side
    32,699.84x = 396,118,982.90
  5. Step 5: Solve for x
    x = 396,118,982.90/32,699.84
  6. Step 6: Final answer
    x = 12,113.79

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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.