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Finding the Fourth Proportional to 32,872, 49,243.10 and 21,745.04

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Solution

The fourth proportional to 32,872, 49,243.10 and 21,745.04 is: 32,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872 : 49,243.10 = 21,745.04 : x
  2. Step 2: Convert to fraction form
    32,872/49,243.10 = 21,745.04/x
  3. Step 3: Cross multiply
    32,872x = 49,243.10 × 21,745.04
  4. Step 4: Simplify right side
    32,872x = 1,070,793,179.22
  5. Step 5: Solve for x
    x = 1,070,793,179.22/32,872
  6. Step 6: Final answer
    x = 32,574.63

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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.