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Finding the Fourth Proportional to 74,058.60, 102,200.46 and 40,067

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Solution

The fourth proportional to 74,058.60, 102,200.46 and 40,067 is: 55,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058.60 : 102,200.46 = 40,067 : x
  2. Step 2: Convert to fraction form
    74,058.60/102,200.46 = 40,067/x
  3. Step 3: Cross multiply
    74,058.60x = 102,200.46 × 40,067
  4. Step 4: Simplify right side
    74,058.60x = 4,094,865,830.82
  5. Step 5: Solve for x
    x = 4,094,865,830.82/74,058.60
  6. Step 6: Final answer
    x = 55,292.24

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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.