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Finding the Fourth Proportional to 26,978.94, 40,475.73 and 15,300.42

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Solution

The fourth proportional to 26,978.94, 40,475.73 and 15,300.42 is: 22,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.94 : 40,475.73 = 15,300.42 : x
  2. Step 2: Convert to fraction form
    26,978.94/40,475.73 = 15,300.42/x
  3. Step 3: Cross multiply
    26,978.94x = 40,475.73 × 15,300.42
  4. Step 4: Simplify right side
    26,978.94x = 619,295,668.81
  5. Step 5: Solve for x
    x = 619,295,668.81/26,978.94
  6. Step 6: Final answer
    x = 22,954.78

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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.