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Finding the Fourth Proportional to 83,322.49, 114,984.57 and 45,081.94

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Solution

The fourth proportional to 83,322.49, 114,984.57 and 45,081.94 is: 62,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.49 : 114,984.57 = 45,081.94 : x
  2. Step 2: Convert to fraction form
    83,322.49/114,984.57 = 45,081.94/x
  3. Step 3: Cross multiply
    83,322.49x = 114,984.57 × 45,081.94
  4. Step 4: Simplify right side
    83,322.49x = 5,183,727,485.67
  5. Step 5: Solve for x
    x = 5,183,727,485.67/83,322.49
  6. Step 6: Final answer
    x = 62,212.82

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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.