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Finding the Fourth Proportional to 50,223.92, 69,312.84 and 27,867.92

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Solution

The fourth proportional to 50,223.92, 69,312.84 and 27,867.92 is: 38,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223.92 : 69,312.84 = 27,867.92 : x
  2. Step 2: Convert to fraction form
    50,223.92/69,312.84 = 27,867.92/x
  3. Step 3: Cross multiply
    50,223.92x = 69,312.84 × 27,867.92
  4. Step 4: Simplify right side
    50,223.92x = 1,931,604,680.09
  5. Step 5: Solve for x
    x = 1,931,604,680.09/50,223.92
  6. Step 6: Final answer
    x = 38,459.85

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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.