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Finding the Fourth Proportional to 54,908.70, 75,775.32 and 31,035.47

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Solution

The fourth proportional to 54,908.70, 75,775.32 and 31,035.47 is: 42,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908.70 : 75,775.32 = 31,035.47 : x
  2. Step 2: Convert to fraction form
    54,908.70/75,775.32 = 31,035.47/x
  3. Step 3: Cross multiply
    54,908.70x = 75,775.32 × 31,035.47
  4. Step 4: Simplify right side
    54,908.70x = 2,351,722,291.72
  5. Step 5: Solve for x
    x = 2,351,722,291.72/54,908.70
  6. Step 6: Final answer
    x = 42,829.68

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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.