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Finding the Fourth Proportional to 74,563, 102,896.94 and 41,029

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Solution

The fourth proportional to 74,563, 102,896.94 and 41,029 is: 56,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,563 : 102,896.94 = 41,029 : x
  2. Step 2: Convert to fraction form
    74,563/102,896.94 = 41,029/x
  3. Step 3: Cross multiply
    74,563x = 102,896.94 × 41,029
  4. Step 4: Simplify right side
    74,563x = 4,221,758,551.26
  5. Step 5: Solve for x
    x = 4,221,758,551.26/74,563
  6. Step 6: Final answer
    x = 56,620.02

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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.