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Finding the Fourth Proportional to 37,832.80, 56,781.60 and 16,805.20

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Solution

The fourth proportional to 37,832.80, 56,781.60 and 16,805.20 is: 25,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832.80 : 56,781.60 = 16,805.20 : x
  2. Step 2: Convert to fraction form
    37,832.80/56,781.60 = 16,805.20/x
  3. Step 3: Cross multiply
    37,832.80x = 56,781.60 × 16,805.20
  4. Step 4: Simplify right side
    37,832.80x = 954,226,144.32
  5. Step 5: Solve for x
    x = 954,226,144.32/37,832.80
  6. Step 6: Final answer
    x = 25,222.19

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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.