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Finding the Fourth Proportional to 54,141.71, 74,716.03 and 29,941.41

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Solution

The fourth proportional to 54,141.71, 74,716.03 and 29,941.41 is: 41,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,141.71 : 74,716.03 = 29,941.41 : x
  2. Step 2: Convert to fraction form
    54,141.71/74,716.03 = 29,941.41/x
  3. Step 3: Cross multiply
    54,141.71x = 74,716.03 × 29,941.41
  4. Step 4: Simplify right side
    54,141.71x = 2,237,103,138.10
  5. Step 5: Solve for x
    x = 2,237,103,138.10/54,141.71
  6. Step 6: Final answer
    x = 41,319.41

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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.