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Finding the Fourth Proportional to 64,757.12, 97,193.52 and 33,188.64

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Solution

The fourth proportional to 64,757.12, 97,193.52 and 33,188.64 is: 49,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,757.12 : 97,193.52 = 33,188.64 : x
  2. Step 2: Convert to fraction form
    64,757.12/97,193.52 = 33,188.64/x
  3. Step 3: Cross multiply
    64,757.12x = 97,193.52 × 33,188.64
  4. Step 4: Simplify right side
    64,757.12x = 3,225,720,745.61
  5. Step 5: Solve for x
    x = 3,225,720,745.61/64,757.12
  6. Step 6: Final answer
    x = 49,812.60

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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.