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Finding the Fourth Proportional to 92,616.24, 138,930.90 and 45,856.56

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Solution

The fourth proportional to 92,616.24, 138,930.90 and 45,856.56 is: 68,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,616.24 : 138,930.90 = 45,856.56 : x
  2. Step 2: Convert to fraction form
    92,616.24/138,930.90 = 45,856.56/x
  3. Step 3: Cross multiply
    92,616.24x = 138,930.90 × 45,856.56
  4. Step 4: Simplify right side
    92,616.24x = 6,370,893,151.70
  5. Step 5: Solve for x
    x = 6,370,893,151.70/92,616.24
  6. Step 6: Final answer
    x = 68,788.08

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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.