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Finding the Fourth Proportional to 54,966, 75,853.08 and 31,092.16

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Solution

The fourth proportional to 54,966, 75,853.08 and 31,092.16 is: 42,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 75,853.08 = 31,092.16 : x
  2. Step 2: Convert to fraction form
    54,966/75,853.08 = 31,092.16/x
  3. Step 3: Cross multiply
    54,966x = 75,853.08 × 31,092.16
  4. Step 4: Simplify right side
    54,966x = 2,358,436,099.85
  5. Step 5: Solve for x
    x = 2,358,436,099.85/54,966
  6. Step 6: Final answer
    x = 42,907.18

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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.