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Finding the Fourth Proportional to 26,978.16, 37,231.48 and 15,041.46

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Solution

The fourth proportional to 26,978.16, 37,231.48 and 15,041.46 is: 20,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.16 : 37,231.48 = 15,041.46 : x
  2. Step 2: Convert to fraction form
    26,978.16/37,231.48 = 15,041.46/x
  3. Step 3: Cross multiply
    26,978.16x = 37,231.48 × 15,041.46
  4. Step 4: Simplify right side
    26,978.16x = 560,015,817.16
  5. Step 5: Solve for x
    x = 560,015,817.16/26,978.16
  6. Step 6: Final answer
    x = 20,758.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.