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Finding the Fourth Proportional to 74,617.74, 102,966.39 and 41,083.74

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Solution

The fourth proportional to 74,617.74, 102,966.39 and 41,083.74 is: 56,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,617.74 : 102,966.39 = 41,083.74 : x
  2. Step 2: Convert to fraction form
    74,617.74/102,966.39 = 41,083.74/x
  3. Step 3: Cross multiply
    74,617.74x = 102,966.39 × 41,083.74
  4. Step 4: Simplify right side
    74,617.74x = 4,230,244,395.50
  5. Step 5: Solve for x
    x = 4,230,244,395.50/74,617.74
  6. Step 6: Final answer
    x = 56,692.21

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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.