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Finding the Fourth Proportional to 54,974, 75,863.40 and 29,824.40

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Solution

The fourth proportional to 54,974, 75,863.40 and 29,824.40 is: 41,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974 : 75,863.40 = 29,824.40 : x
  2. Step 2: Convert to fraction form
    54,974/75,863.40 = 29,824.40/x
  3. Step 3: Cross multiply
    54,974x = 75,863.40 × 29,824.40
  4. Step 4: Simplify right side
    54,974x = 2,262,580,386.96
  5. Step 5: Solve for x
    x = 2,262,580,386.96/54,974
  6. Step 6: Final answer
    x = 41,157.28

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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.