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Finding the Fourth Proportional to 49,722.34, 68,642.22 and 38,366.32

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Solution

The fourth proportional to 49,722.34, 68,642.22 and 38,366.32 is: 52,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,722.34 : 68,642.22 = 38,366.32 : x
  2. Step 2: Convert to fraction form
    49,722.34/68,642.22 = 38,366.32/x
  3. Step 3: Cross multiply
    49,722.34x = 68,642.22 × 38,366.32
  4. Step 4: Simplify right side
    49,722.34x = 2,633,549,378.03
  5. Step 5: Solve for x
    x = 2,633,549,378.03/49,722.34
  6. Step 6: Final answer
    x = 52,965.11

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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.