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Finding the Fourth Proportional to 32,987.69, 49,480.84 and 8,027.88

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Solution

The fourth proportional to 32,987.69, 49,480.84 and 8,027.88 is: 12,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987.69 : 49,480.84 = 8,027.88 : x
  2. Step 2: Convert to fraction form
    32,987.69/49,480.84 = 8,027.88/x
  3. Step 3: Cross multiply
    32,987.69x = 49,480.84 × 8,027.88
  4. Step 4: Simplify right side
    32,987.69x = 397,226,070.30
  5. Step 5: Solve for x
    x = 397,226,070.30/32,987.69
  6. Step 6: Final answer
    x = 12,041.65

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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.