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Finding the Fourth Proportional to 74,595.79, 102,942.21 and 41,061.79

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Solution

The fourth proportional to 74,595.79, 102,942.21 and 41,061.79 is: 56,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,595.79 : 102,942.21 = 41,061.79 : x
  2. Step 2: Convert to fraction form
    74,595.79/102,942.21 = 41,061.79/x
  3. Step 3: Cross multiply
    74,595.79x = 102,942.21 × 41,061.79
  4. Step 4: Simplify right side
    74,595.79x = 4,226,991,409.16
  5. Step 5: Solve for x
    x = 4,226,991,409.16/74,595.79
  6. Step 6: Final answer
    x = 56,665.28

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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.