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Finding the Fourth Proportional to 53,803.92, 80,705.94 and 24,216.24

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Solution

The fourth proportional to 53,803.92, 80,705.94 and 24,216.24 is: 36,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.92 : 80,705.94 = 24,216.24 : x
  2. Step 2: Convert to fraction form
    53,803.92/80,705.94 = 24,216.24/x
  3. Step 3: Cross multiply
    53,803.92x = 80,705.94 × 24,216.24
  4. Step 4: Simplify right side
    53,803.92x = 1,954,394,412.47
  5. Step 5: Solve for x
    x = 1,954,394,412.47/53,803.92
  6. Step 6: Final answer
    x = 36,324.39

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1.5x scale

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.