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Finding the Fourth Proportional to 83,027.94, 114,581.08 and 47,223.10

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Solution

The fourth proportional to 83,027.94, 114,581.08 and 47,223.10 is: 65,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.94 : 114,581.08 = 47,223.10 : x
  2. Step 2: Convert to fraction form
    83,027.94/114,581.08 = 47,223.10/x
  3. Step 3: Cross multiply
    83,027.94x = 114,581.08 × 47,223.10
  4. Step 4: Simplify right side
    83,027.94x = 5,410,873,798.95
  5. Step 5: Solve for x
    x = 5,410,873,798.95/83,027.94
  6. Step 6: Final answer
    x = 65,169.32

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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.