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Finding the Fourth Proportional to 37,884.50, 56,843.90 and 16,543.84

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Solution

The fourth proportional to 37,884.50, 56,843.90 and 16,543.84 is: 24,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.50 : 56,843.90 = 16,543.84 : x
  2. Step 2: Convert to fraction form
    37,884.50/56,843.90 = 16,543.84/x
  3. Step 3: Cross multiply
    37,884.50x = 56,843.90 × 16,543.84
  4. Step 4: Simplify right side
    37,884.50x = 940,416,019.64
  5. Step 5: Solve for x
    x = 940,416,019.64/37,884.50
  6. Step 6: Final answer
    x = 24,823.24

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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.