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Finding the Fourth Proportional to 74,058, 102,202.61 and 40,524

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Solution

The fourth proportional to 74,058, 102,202.61 and 40,524 is: 55,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058 : 102,202.61 = 40,524 : x
  2. Step 2: Convert to fraction form
    74,058/102,202.61 = 40,524/x
  3. Step 3: Cross multiply
    74,058x = 102,202.61 × 40,524
  4. Step 4: Simplify right side
    74,058x = 4,141,658,365.02
  5. Step 5: Solve for x
    x = 4,141,658,365.02/74,058
  6. Step 6: Final answer
    x = 55,924.52

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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.