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Finding the Fourth Proportional to 53,620.80, 80,398.80 and 24,033.12

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Solution

The fourth proportional to 53,620.80, 80,398.80 and 24,033.12 is: 36,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,620.80 : 80,398.80 = 24,033.12 : x
  2. Step 2: Convert to fraction form
    53,620.80/80,398.80 = 24,033.12/x
  3. Step 3: Cross multiply
    53,620.80x = 80,398.80 × 24,033.12
  4. Step 4: Simplify right side
    53,620.80x = 1,932,234,008.26
  5. Step 5: Solve for x
    x = 1,932,234,008.26/53,620.80
  6. Step 6: Final answer
    x = 36,035.16

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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.