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Finding the Fourth Proportional to 74,966, 103,454.52 and 41,431.28

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Solution

The fourth proportional to 74,966, 103,454.52 and 41,431.28 is: 57,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,966 : 103,454.52 = 41,431.28 : x
  2. Step 2: Convert to fraction form
    74,966/103,454.52 = 41,431.28/x
  3. Step 3: Cross multiply
    74,966x = 103,454.52 × 41,431.28
  4. Step 4: Simplify right side
    74,966x = 4,286,253,185.39
  5. Step 5: Solve for x
    x = 4,286,253,185.39/74,966
  6. Step 6: Final answer
    x = 57,175.96

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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.