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Finding the Fourth Proportional to 54,410.84, 75,014.78 and 35,515.16

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Solution

The fourth proportional to 54,410.84, 75,014.78 and 35,515.16 is: 48,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410.84 : 75,014.78 = 35,515.16 : x
  2. Step 2: Convert to fraction form
    54,410.84/75,014.78 = 35,515.16/x
  3. Step 3: Cross multiply
    54,410.84x = 75,014.78 × 35,515.16
  4. Step 4: Simplify right side
    54,410.84x = 2,664,161,914.06
  5. Step 5: Solve for x
    x = 2,664,161,914.06/54,410.84
  6. Step 6: Final answer
    x = 48,963.81

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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.