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Finding the Fourth Proportional to 74,458.73, 102,752.60 and 40,467.48

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Solution

The fourth proportional to 74,458.73, 102,752.60 and 40,467.48 is: 55,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458.73 : 102,752.60 = 40,467.48 : x
  2. Step 2: Convert to fraction form
    74,458.73/102,752.60 = 40,467.48/x
  3. Step 3: Cross multiply
    74,458.73x = 102,752.60 × 40,467.48
  4. Step 4: Simplify right side
    74,458.73x = 4,158,138,583.11
  5. Step 5: Solve for x
    x = 4,158,138,583.11/74,458.73
  6. Step 6: Final answer
    x = 55,844.88

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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.