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Finding the Fourth Proportional to 26,884.32, 40,072.80 and 24,784.80

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Solution

The fourth proportional to 26,884.32, 40,072.80 and 24,784.80 is: 36,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.32 : 40,072.80 = 24,784.80 : x
  2. Step 2: Convert to fraction form
    26,884.32/40,072.80 = 24,784.80/x
  3. Step 3: Cross multiply
    26,884.32x = 40,072.80 × 24,784.80
  4. Step 4: Simplify right side
    26,884.32x = 993,196,333.44
  5. Step 5: Solve for x
    x = 993,196,333.44/26,884.32
  6. Step 6: Final answer
    x = 36,943.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.