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Finding the Fourth Proportional to 26,770.58, 40,157.84 and 7,049

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Solution

The fourth proportional to 26,770.58, 40,157.84 and 7,049 is: 10,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,770.58 : 40,157.84 = 7,049 : x
  2. Step 2: Convert to fraction form
    26,770.58/40,157.84 = 7,049/x
  3. Step 3: Cross multiply
    26,770.58x = 40,157.84 × 7,049
  4. Step 4: Simplify right side
    26,770.58x = 283,072,614.16
  5. Step 5: Solve for x
    x = 283,072,614.16/26,770.58
  6. Step 6: Final answer
    x = 10,574.02

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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.