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Finding the Fourth Proportional to 32,327.89, 44,602.10 and 19,577

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Solution

The fourth proportional to 32,327.89, 44,602.10 and 19,577 is: 27,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.89 : 44,602.10 = 19,577 : x
  2. Step 2: Convert to fraction form
    32,327.89/44,602.10 = 19,577/x
  3. Step 3: Cross multiply
    32,327.89x = 44,602.10 × 19,577
  4. Step 4: Simplify right side
    32,327.89x = 873,175,311.70
  5. Step 5: Solve for x
    x = 873,175,311.70/32,327.89
  6. Step 6: Final answer
    x = 27,009.97

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