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Finding the Fourth Proportional to 64,564.96, 96,847.02 and 25,149.64

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Solution

The fourth proportional to 64,564.96, 96,847.02 and 25,149.64 is: 37,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564.96 : 96,847.02 = 25,149.64 : x
  2. Step 2: Convert to fraction form
    64,564.96/96,847.02 = 25,149.64/x
  3. Step 3: Cross multiply
    64,564.96x = 96,847.02 × 25,149.64
  4. Step 4: Simplify right side
    64,564.96x = 2,435,667,688.07
  5. Step 5: Solve for x
    x = 2,435,667,688.07/64,564.96
  6. Step 6: Final answer
    x = 37,724.30

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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.