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Finding the Fourth Proportional to 32,025.38, 44,195.22 and 17,878.32

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Solution

The fourth proportional to 32,025.38, 44,195.22 and 17,878.32 is: 24,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.38 : 44,195.22 = 17,878.32 : x
  2. Step 2: Convert to fraction form
    32,025.38/44,195.22 = 17,878.32/x
  3. Step 3: Cross multiply
    32,025.38x = 44,195.22 × 17,878.32
  4. Step 4: Simplify right side
    32,025.38x = 790,136,285.63
  5. Step 5: Solve for x
    x = 790,136,285.63/32,025.38
  6. Step 6: Final answer
    x = 24,672.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.