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Finding the Fourth Proportional to 32,625.50, 48,938.26 and 8,001.50

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Solution

The fourth proportional to 32,625.50, 48,938.26 and 8,001.50 is: 12,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,625.50 : 48,938.26 = 8,001.50 : x
  2. Step 2: Convert to fraction form
    32,625.50/48,938.26 = 8,001.50/x
  3. Step 3: Cross multiply
    32,625.50x = 48,938.26 × 8,001.50
  4. Step 4: Simplify right side
    32,625.50x = 391,579,487.39
  5. Step 5: Solve for x
    x = 391,579,487.39/32,625.50
  6. Step 6: Final answer
    x = 12,002.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.