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Finding the Fourth Proportional to 55,741.36, 76,922.08 and 31,542.08

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Solution

The fourth proportional to 55,741.36, 76,922.08 and 31,542.08 is: 43,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,741.36 : 76,922.08 = 31,542.08 : x
  2. Step 2: Convert to fraction form
    55,741.36/76,922.08 = 31,542.08/x
  3. Step 3: Cross multiply
    55,741.36x = 76,922.08 × 31,542.08
  4. Step 4: Simplify right side
    55,741.36x = 2,426,282,401.13
  5. Step 5: Solve for x
    x = 2,426,282,401.13/55,741.36
  6. Step 6: Final answer
    x = 43,527.51

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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.