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Finding the Fourth Proportional to 32,001.44, 44,174.03 and 27,507.15

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Solution

The fourth proportional to 32,001.44, 44,174.03 and 27,507.15 is: 37,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.44 : 44,174.03 = 27,507.15 : x
  2. Step 2: Convert to fraction form
    32,001.44/44,174.03 = 27,507.15/x
  3. Step 3: Cross multiply
    32,001.44x = 44,174.03 × 27,507.15
  4. Step 4: Simplify right side
    32,001.44x = 1,215,101,669.31
  5. Step 5: Solve for x
    x = 1,215,101,669.31/32,001.44
  6. Step 6: Final answer
    x = 37,970.22

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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.