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Finding the Fourth Proportional to 64,822.70, 97,234.05 and 36,829.10

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Solution

The fourth proportional to 64,822.70, 97,234.05 and 36,829.10 is: 55,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.70 : 97,234.05 = 36,829.10 : x
  2. Step 2: Convert to fraction form
    64,822.70/97,234.05 = 36,829.10/x
  3. Step 3: Cross multiply
    64,822.70x = 97,234.05 × 36,829.10
  4. Step 4: Simplify right side
    64,822.70x = 3,581,042,550.86
  5. Step 5: Solve for x
    x = 3,581,042,550.86/64,822.70
  6. Step 6: Final answer
    x = 55,243.65

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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.