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Finding the Fourth Proportional to 74,057.19, 102,198.49 and 40,065.58

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Solution

The fourth proportional to 74,057.19, 102,198.49 and 40,065.58 is: 55,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,057.19 : 102,198.49 = 40,065.58 : x
  2. Step 2: Convert to fraction form
    74,057.19/102,198.49 = 40,065.58/x
  3. Step 3: Cross multiply
    74,057.19x = 102,198.49 × 40,065.58
  4. Step 4: Simplify right side
    74,057.19x = 4,094,641,776.97
  5. Step 5: Solve for x
    x = 4,094,641,776.97/74,057.19
  6. Step 6: Final answer
    x = 55,290.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.