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Finding the Fourth Proportional to 54,333.64, 74,976.33 and 30,459.70

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Solution

The fourth proportional to 54,333.64, 74,976.33 and 30,459.70 is: 42,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,333.64 : 74,976.33 = 30,459.70 : x
  2. Step 2: Convert to fraction form
    54,333.64/74,976.33 = 30,459.70/x
  3. Step 3: Cross multiply
    54,333.64x = 74,976.33 × 30,459.70
  4. Step 4: Simplify right side
    54,333.64x = 2,283,756,518.90
  5. Step 5: Solve for x
    x = 2,283,756,518.90/54,333.64
  6. Step 6: Final answer
    x = 42,032.09

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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.