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Finding the Fourth Proportional to 43,336.30, 64,951.28 and 24,632

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Solution

The fourth proportional to 43,336.30, 64,951.28 and 24,632 is: 36,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,336.30 : 64,951.28 = 24,632 : x
  2. Step 2: Convert to fraction form
    43,336.30/64,951.28 = 24,632/x
  3. Step 3: Cross multiply
    43,336.30x = 64,951.28 × 24,632
  4. Step 4: Simplify right side
    43,336.30x = 1,599,879,805.80
  5. Step 5: Solve for x
    x = 1,599,879,805.80/43,336.30
  6. Step 6: Final answer
    x = 36,917.78

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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.