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Finding the Fourth Proportional to 74,570.16, 102,906.83 and 41,036.16

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Solution

The fourth proportional to 74,570.16, 102,906.83 and 41,036.16 is: 56,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,570.16 : 102,906.83 = 41,036.16 : x
  2. Step 2: Convert to fraction form
    74,570.16/102,906.83 = 41,036.16/x
  3. Step 3: Cross multiply
    74,570.16x = 102,906.83 × 41,036.16
  4. Step 4: Simplify right side
    74,570.16x = 4,222,900,857.66
  5. Step 5: Solve for x
    x = 4,222,900,857.66/74,570.16
  6. Step 6: Final answer
    x = 56,629.90

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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.