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Finding the Fourth Proportional to 55,038.92, 75,954 and 31,170.24

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Solution

The fourth proportional to 55,038.92, 75,954 and 31,170.24 is: 43,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,038.92 : 75,954 = 31,170.24 : x
  2. Step 2: Convert to fraction form
    55,038.92/75,954 = 31,170.24/x
  3. Step 3: Cross multiply
    55,038.92x = 75,954 × 31,170.24
  4. Step 4: Simplify right side
    55,038.92x = 2,367,504,408.96
  5. Step 5: Solve for x
    x = 2,367,504,408.96/55,038.92
  6. Step 6: Final answer
    x = 43,015.10

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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.