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Finding the Fourth Proportional to 32,651.78, 48,977.66 and 15,112.04

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Solution

The fourth proportional to 32,651.78, 48,977.66 and 15,112.04 is: 22,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.78 : 48,977.66 = 15,112.04 : x
  2. Step 2: Convert to fraction form
    32,651.78/48,977.66 = 15,112.04/x
  3. Step 3: Cross multiply
    32,651.78x = 48,977.66 × 15,112.04
  4. Step 4: Simplify right side
    32,651.78x = 740,152,357.03
  5. Step 5: Solve for x
    x = 740,152,357.03/32,651.78
  6. Step 6: Final answer
    x = 22,668.06

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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.