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Finding the Fourth Proportional to 54,966, 75,844.44 and 31,085.04

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Solution

The fourth proportional to 54,966, 75,844.44 and 31,085.04 is: 42,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 75,844.44 = 31,085.04 : x
  2. Step 2: Convert to fraction form
    54,966/75,844.44 = 31,085.04/x
  3. Step 3: Cross multiply
    54,966x = 75,844.44 × 31,085.04
  4. Step 4: Simplify right side
    54,966x = 2,357,627,451.18
  5. Step 5: Solve for x
    x = 2,357,627,451.18/54,966
  6. Step 6: Final answer
    x = 42,892.47

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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.