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Finding the Fourth Proportional to 53,951.96, 80,947.32 and 24,347.24

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Solution

The fourth proportional to 53,951.96, 80,947.32 and 24,347.24 is: 36,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,951.96 : 80,947.32 = 24,347.24 : x
  2. Step 2: Convert to fraction form
    53,951.96/80,947.32 = 24,347.24/x
  3. Step 3: Cross multiply
    53,951.96x = 80,947.32 × 24,347.24
  4. Step 4: Simplify right side
    53,951.96x = 1,970,843,827.40
  5. Step 5: Solve for x
    x = 1,970,843,827.40/53,951.96
  6. Step 6: Final answer
    x = 36,529.61

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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.