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Finding the Fourth Proportional to 64,212.66, 96,188.43 and 52,408.50

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Solution

The fourth proportional to 64,212.66, 96,188.43 and 52,408.50 is: 78,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212.66 : 96,188.43 = 52,408.50 : x
  2. Step 2: Convert to fraction form
    64,212.66/96,188.43 = 52,408.50/x
  3. Step 3: Cross multiply
    64,212.66x = 96,188.43 × 52,408.50
  4. Step 4: Simplify right side
    64,212.66x = 5,041,091,333.66
  5. Step 5: Solve for x
    x = 5,041,091,333.66/64,212.66
  6. Step 6: Final answer
    x = 78,506.19

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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.