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Finding the Fourth Proportional to 64,209.16, 96,183.18 and 52,405

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Solution

The fourth proportional to 64,209.16, 96,183.18 and 52,405 is: 78,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.16 : 96,183.18 = 52,405 : x
  2. Step 2: Convert to fraction form
    64,209.16/96,183.18 = 52,405/x
  3. Step 3: Cross multiply
    64,209.16x = 96,183.18 × 52,405
  4. Step 4: Simplify right side
    64,209.16x = 5,040,479,547.90
  5. Step 5: Solve for x
    x = 5,040,479,547.90/64,209.16
  6. Step 6: Final answer
    x = 78,500.94

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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.