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Finding the Fourth Proportional to 79,693.44, 119,538.72 and 24,288

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Solution

The fourth proportional to 79,693.44, 119,538.72 and 24,288 is: 36,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,693.44 : 119,538.72 = 24,288 : x
  2. Step 2: Convert to fraction form
    79,693.44/119,538.72 = 24,288/x
  3. Step 3: Cross multiply
    79,693.44x = 119,538.72 × 24,288
  4. Step 4: Simplify right side
    79,693.44x = 2,903,356,431.36
  5. Step 5: Solve for x
    x = 2,903,356,431.36/79,693.44
  6. Step 6: Final answer
    x = 36,431.56

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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.