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Finding the Fourth Proportional to 74,617.76, 102,972.60 and 41,083.76

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Solution

The fourth proportional to 74,617.76, 102,972.60 and 41,083.76 is: 56,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,617.76 : 102,972.60 = 41,083.76 : x
  2. Step 2: Convert to fraction form
    74,617.76/102,972.60 = 41,083.76/x
  3. Step 3: Cross multiply
    74,617.76x = 102,972.60 × 41,083.76
  4. Step 4: Simplify right side
    74,617.76x = 4,230,501,584.98
  5. Step 5: Solve for x
    x = 4,230,501,584.98/74,617.76
  6. Step 6: Final answer
    x = 56,695.64

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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.