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Finding the Fourth Proportional to 77,644.10, 116,347.35 and 52,249.57

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Solution

The fourth proportional to 77,644.10, 116,347.35 and 52,249.57 is: 78,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.10 : 116,347.35 = 52,249.57 : x
  2. Step 2: Convert to fraction form
    77,644.10/116,347.35 = 52,249.57/x
  3. Step 3: Cross multiply
    77,644.10x = 116,347.35 × 52,249.57
  4. Step 4: Simplify right side
    77,644.10x = 6,079,099,008.14
  5. Step 5: Solve for x
    x = 6,079,099,008.14/77,644.10
  6. Step 6: Final answer
    x = 78,294.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.