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Finding the Fourth Proportional to 74,606.76, 102,958.02 and 41,073

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Solution

The fourth proportional to 74,606.76, 102,958.02 and 41,073 is: 56,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,606.76 : 102,958.02 = 41,073 : x
  2. Step 2: Convert to fraction form
    74,606.76/102,958.02 = 41,073/x
  3. Step 3: Cross multiply
    74,606.76x = 102,958.02 × 41,073
  4. Step 4: Simplify right side
    74,606.76x = 4,228,794,755.46
  5. Step 5: Solve for x
    x = 4,228,794,755.46/74,606.76
  6. Step 6: Final answer
    x = 56,681.12

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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.