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Finding the Fourth Proportional to 74,571, 102,910.14 and 41,037

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Solution

The fourth proportional to 74,571, 102,910.14 and 41,037 is: 56,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,571 : 102,910.14 = 41,037 : x
  2. Step 2: Convert to fraction form
    74,571/102,910.14 = 41,037/x
  3. Step 3: Cross multiply
    74,571x = 102,910.14 × 41,037
  4. Step 4: Simplify right side
    74,571x = 4,223,123,415.18
  5. Step 5: Solve for x
    x = 4,223,123,415.18/74,571
  6. Step 6: Final answer
    x = 56,632.25

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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.