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Finding the Fourth Proportional to 74,589, 102,932.82 and 41,055

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Solution

The fourth proportional to 74,589, 102,932.82 and 41,055 is: 56,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,589 : 102,932.82 = 41,055 : x
  2. Step 2: Convert to fraction form
    74,589/102,932.82 = 41,055/x
  3. Step 3: Cross multiply
    74,589x = 102,932.82 × 41,055
  4. Step 4: Simplify right side
    74,589x = 4,225,906,925.10
  5. Step 5: Solve for x
    x = 4,225,906,925.10/74,589
  6. Step 6: Final answer
    x = 56,655.90

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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.