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Finding the Fourth Proportional to 74,054.36, 102,194.60 and 40,062.74

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Solution

The fourth proportional to 74,054.36, 102,194.60 and 40,062.74 is: 55,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054.36 : 102,194.60 = 40,062.74 : x
  2. Step 2: Convert to fraction form
    74,054.36/102,194.60 = 40,062.74/x
  3. Step 3: Cross multiply
    74,054.36x = 102,194.60 × 40,062.74
  4. Step 4: Simplify right side
    74,054.36x = 4,094,195,744.38
  5. Step 5: Solve for x
    x = 4,094,195,744.38/74,054.36
  6. Step 6: Final answer
    x = 55,286.35

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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.