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Finding the Fourth Proportional to 102,647.44, 141,649.32 and 57,324.70

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Solution

The fourth proportional to 102,647.44, 141,649.32 and 57,324.70 is: 79,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.44 : 141,649.32 = 57,324.70 : x
  2. Step 2: Convert to fraction form
    102,647.44/141,649.32 = 57,324.70/x
  3. Step 3: Cross multiply
    102,647.44x = 141,649.32 × 57,324.70
  4. Step 4: Simplify right side
    102,647.44x = 8,120,004,774.20
  5. Step 5: Solve for x
    x = 8,120,004,774.20/102,647.44
  6. Step 6: Final answer
    x = 79,105.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.