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Finding the Fourth Proportional to 55,032.48, 75,944.16 and 29,882.16

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Solution

The fourth proportional to 55,032.48, 75,944.16 and 29,882.16 is: 41,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,032.48 : 75,944.16 = 29,882.16 : x
  2. Step 2: Convert to fraction form
    55,032.48/75,944.16 = 29,882.16/x
  3. Step 3: Cross multiply
    55,032.48x = 75,944.16 × 29,882.16
  4. Step 4: Simplify right side
    55,032.48x = 2,269,375,540.19
  5. Step 5: Solve for x
    x = 2,269,375,540.19/55,032.48
  6. Step 6: Final answer
    x = 41,237.02

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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.