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Finding the Fourth Proportional to 83,028.28, 114,603.44 and 47,238.28

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Solution

The fourth proportional to 83,028.28, 114,603.44 and 47,238.28 is: 65,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,028.28 : 114,603.44 = 47,238.28 : x
  2. Step 2: Convert to fraction form
    83,028.28/114,603.44 = 47,238.28/x
  3. Step 3: Cross multiply
    83,028.28x = 114,603.44 × 47,238.28
  4. Step 4: Simplify right side
    83,028.28x = 5,413,669,387.68
  5. Step 5: Solve for x
    x = 5,413,669,387.68/83,028.28
  6. Step 6: Final answer
    x = 65,202.72

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1.5x scale

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.