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Finding the Fourth Proportional to 92,226.98, 138,248.11 and 35,989.72

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Solution

The fourth proportional to 92,226.98, 138,248.11 and 35,989.72 is: 53,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,226.98 : 138,248.11 = 35,989.72 : x
  2. Step 2: Convert to fraction form
    92,226.98/138,248.11 = 35,989.72/x
  3. Step 3: Cross multiply
    92,226.98x = 138,248.11 × 35,989.72
  4. Step 4: Simplify right side
    92,226.98x = 4,975,510,769.43
  5. Step 5: Solve for x
    x = 4,975,510,769.43/92,226.98
  6. Step 6: Final answer
    x = 53,948.54

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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.