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Finding the Fourth Proportional to 55,762.98, 76,942.97 and 31,563.83

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Solution

The fourth proportional to 55,762.98, 76,942.97 and 31,563.83 is: 43,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.98 : 76,942.97 = 31,563.83 : x
  2. Step 2: Convert to fraction form
    55,762.98/76,942.97 = 31,563.83/x
  3. Step 3: Cross multiply
    55,762.98x = 76,942.97 × 31,563.83
  4. Step 4: Simplify right side
    55,762.98x = 2,428,614,282.24
  5. Step 5: Solve for x
    x = 2,428,614,282.24/55,762.98
  6. Step 6: Final answer
    x = 43,552.45

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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.