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Finding the Fourth Proportional to 32,511, 44,865.18 and 17,607

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Solution

The fourth proportional to 32,511, 44,865.18 and 17,607 is: 24,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511 : 44,865.18 = 17,607 : x
  2. Step 2: Convert to fraction form
    32,511/44,865.18 = 17,607/x
  3. Step 3: Cross multiply
    32,511x = 44,865.18 × 17,607
  4. Step 4: Simplify right side
    32,511x = 789,941,224.26
  5. Step 5: Solve for x
    x = 789,941,224.26/32,511
  6. Step 6: Final answer
    x = 24,297.66

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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.