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Finding the Fourth Proportional to 54,356.76, 81,534.06 and 30,933

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Solution

The fourth proportional to 54,356.76, 81,534.06 and 30,933 is: 46,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,356.76 : 81,534.06 = 30,933 : x
  2. Step 2: Convert to fraction form
    54,356.76/81,534.06 = 30,933/x
  3. Step 3: Cross multiply
    54,356.76x = 81,534.06 × 30,933
  4. Step 4: Simplify right side
    54,356.76x = 2,522,093,077.98
  5. Step 5: Solve for x
    x = 2,522,093,077.98/54,356.76
  6. Step 6: Final answer
    x = 46,398.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.