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Finding the Fourth Proportional to 55,433.28, 76,498 and 31,559.94

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Solution

The fourth proportional to 55,433.28, 76,498 and 31,559.94 is: 43,552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433.28 : 76,498 = 31,559.94 : x
  2. Step 2: Convert to fraction form
    55,433.28/76,498 = 31,559.94/x
  3. Step 3: Cross multiply
    55,433.28x = 76,498 × 31,559.94
  4. Step 4: Simplify right side
    55,433.28x = 2,414,272,290.12
  5. Step 5: Solve for x
    x = 2,414,272,290.12/55,433.28
  6. Step 6: Final answer
    x = 43,552.76

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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.