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Finding the Fourth Proportional to 38,047.80, 57,039.24 and 26,919.48

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Solution

The fourth proportional to 38,047.80, 57,039.24 and 26,919.48 is: 40,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.80 : 57,039.24 = 26,919.48 : x
  2. Step 2: Convert to fraction form
    38,047.80/57,039.24 = 26,919.48/x
  3. Step 3: Cross multiply
    38,047.80x = 57,039.24 × 26,919.48
  4. Step 4: Simplify right side
    38,047.80x = 1,535,466,680.40
  5. Step 5: Solve for x
    x = 1,535,466,680.40/38,047.80
  6. Step 6: Final answer
    x = 40,356.25

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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.