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Finding the Fourth Proportional to 92,229.84, 138,399.78 and 47,856.24

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Solution

The fourth proportional to 92,229.84, 138,399.78 and 47,856.24 is: 71,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,229.84 : 138,399.78 = 47,856.24 : x
  2. Step 2: Convert to fraction form
    92,229.84/138,399.78 = 47,856.24/x
  3. Step 3: Cross multiply
    92,229.84x = 138,399.78 × 47,856.24
  4. Step 4: Simplify right side
    92,229.84x = 6,623,293,087.63
  5. Step 5: Solve for x
    x = 6,623,293,087.63/92,229.84
  6. Step 6: Final answer
    x = 71,812.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.