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Finding the Fourth Proportional to 54,214.84, 74,816.64 and 30,339.70

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Solution

The fourth proportional to 54,214.84, 74,816.64 and 30,339.70 is: 41,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214.84 : 74,816.64 = 30,339.70 : x
  2. Step 2: Convert to fraction form
    54,214.84/74,816.64 = 30,339.70/x
  3. Step 3: Cross multiply
    54,214.84x = 74,816.64 × 30,339.70
  4. Step 4: Simplify right side
    54,214.84x = 2,269,914,412.61
  5. Step 5: Solve for x
    x = 2,269,914,412.61/54,214.84
  6. Step 6: Final answer
    x = 41,868.88

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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.