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Finding the Fourth Proportional to 32,402.40, 44,702.16 and 19,834.44

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Solution

The fourth proportional to 32,402.40, 44,702.16 and 19,834.44 is: 27,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.40 : 44,702.16 = 19,834.44 : x
  2. Step 2: Convert to fraction form
    32,402.40/44,702.16 = 19,834.44/x
  3. Step 3: Cross multiply
    32,402.40x = 44,702.16 × 19,834.44
  4. Step 4: Simplify right side
    32,402.40x = 886,642,310.39
  5. Step 5: Solve for x
    x = 886,642,310.39/32,402.40
  6. Step 6: Final answer
    x = 27,363.48

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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.