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Finding the Fourth Proportional to 64,209.66, 96,183.93 and 52,405.50

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Solution

The fourth proportional to 64,209.66, 96,183.93 and 52,405.50 is: 78,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.66 : 96,183.93 = 52,405.50 : x
  2. Step 2: Convert to fraction form
    64,209.66/96,183.93 = 52,405.50/x
  3. Step 3: Cross multiply
    64,209.66x = 96,183.93 × 52,405.50
  4. Step 4: Simplify right side
    64,209.66x = 5,040,566,943.62
  5. Step 5: Solve for x
    x = 5,040,566,943.62/64,209.66
  6. Step 6: Final answer
    x = 78,501.69

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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.