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Finding the Fourth Proportional to 54,966, 75,853.12 and 29,815.60

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Solution

The fourth proportional to 54,966, 75,853.12 and 29,815.60 is: 41,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966 : 75,853.12 = 29,815.60 : x
  2. Step 2: Convert to fraction form
    54,966/75,853.12 = 29,815.60/x
  3. Step 3: Cross multiply
    54,966x = 75,853.12 × 29,815.60
  4. Step 4: Simplify right side
    54,966x = 2,261,606,284.67
  5. Step 5: Solve for x
    x = 2,261,606,284.67/54,966
  6. Step 6: Final answer
    x = 41,145.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.