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Finding the Fourth Proportional to 32,988.48, 49,482 and 8,028.64

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Solution

The fourth proportional to 32,988.48, 49,482 and 8,028.64 is: 12,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988.48 : 49,482 = 8,028.64 : x
  2. Step 2: Convert to fraction form
    32,988.48/49,482 = 8,028.64/x
  3. Step 3: Cross multiply
    32,988.48x = 49,482 × 8,028.64
  4. Step 4: Simplify right side
    32,988.48x = 397,273,164.48
  5. Step 5: Solve for x
    x = 397,273,164.48/32,988.48
  6. Step 6: Final answer
    x = 12,042.78

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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.