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Finding the Fourth Proportional to 32,988.65, 49,483.01 and 8,028.52

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Solution

The fourth proportional to 32,988.65, 49,483.01 and 8,028.52 is: 12,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988.65 : 49,483.01 = 8,028.52 : x
  2. Step 2: Convert to fraction form
    32,988.65/49,483.01 = 8,028.52/x
  3. Step 3: Cross multiply
    32,988.65x = 49,483.01 × 8,028.52
  4. Step 4: Simplify right side
    32,988.65x = 397,275,231.81
  5. Step 5: Solve for x
    x = 397,275,231.81/32,988.65
  6. Step 6: Final answer
    x = 12,042.79

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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.