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Finding the Fourth Proportional to 74,864, 103,312.42 and 41,330

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Solution

The fourth proportional to 74,864, 103,312.42 and 41,330 is: 57,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,864 : 103,312.42 = 41,330 : x
  2. Step 2: Convert to fraction form
    74,864/103,312.42 = 41,330/x
  3. Step 3: Cross multiply
    74,864x = 103,312.42 × 41,330
  4. Step 4: Simplify right side
    74,864x = 4,269,902,318.60
  5. Step 5: Solve for x
    x = 4,269,902,318.60/74,864
  6. Step 6: Final answer
    x = 57,035.46

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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.