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Finding the Fourth Proportional to 64,337.28, 96,431.28 and 38,064

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Solution

The fourth proportional to 64,337.28, 96,431.28 and 38,064 is: 57,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,337.28 : 96,431.28 = 38,064 : x
  2. Step 2: Convert to fraction form
    64,337.28/96,431.28 = 38,064/x
  3. Step 3: Cross multiply
    64,337.28x = 96,431.28 × 38,064
  4. Step 4: Simplify right side
    64,337.28x = 3,670,560,241.92
  5. Step 5: Solve for x
    x = 3,670,560,241.92/64,337.28
  6. Step 6: Final answer
    x = 57,051.84

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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.