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Finding the Fourth Proportional to 54,657.87, 75,431.78 and 30,460.46

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Solution

The fourth proportional to 54,657.87, 75,431.78 and 30,460.46 is: 42,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.87 : 75,431.78 = 30,460.46 : x
  2. Step 2: Convert to fraction form
    54,657.87/75,431.78 = 30,460.46/x
  3. Step 3: Cross multiply
    54,657.87x = 75,431.78 × 30,460.46
  4. Step 4: Simplify right side
    54,657.87x = 2,297,687,024.31
  5. Step 5: Solve for x
    x = 2,297,687,024.31/54,657.87
  6. Step 6: Final answer
    x = 42,037.62

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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.