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Finding the Fourth Proportional to 64,212.16, 96,187.68 and 52,408

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Solution

The fourth proportional to 64,212.16, 96,187.68 and 52,408 is: 78,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212.16 : 96,187.68 = 52,408 : x
  2. Step 2: Convert to fraction form
    64,212.16/96,187.68 = 52,408/x
  3. Step 3: Cross multiply
    64,212.16x = 96,187.68 × 52,408
  4. Step 4: Simplify right side
    64,212.16x = 5,041,003,933.44
  5. Step 5: Solve for x
    x = 5,041,003,933.44/64,212.16
  6. Step 6: Final answer
    x = 78,505.44

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Why These Related Problems?

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