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Finding the Fourth Proportional to 32,531.50, 44,893.50 and 17,627.50

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Solution

The fourth proportional to 32,531.50, 44,893.50 and 17,627.50 is: 24,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,531.50 : 44,893.50 = 17,627.50 : x
  2. Step 2: Convert to fraction form
    32,531.50/44,893.50 = 17,627.50/x
  3. Step 3: Cross multiply
    32,531.50x = 44,893.50 × 17,627.50
  4. Step 4: Simplify right side
    32,531.50x = 791,360,171.25
  5. Step 5: Solve for x
    x = 791,360,171.25/32,531.50
  6. Step 6: Final answer
    x = 24,325.97

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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.