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Finding the Fourth Proportional to 61,756.96, 85,226.19 and 37,896.82

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Solution

The fourth proportional to 61,756.96, 85,226.19 and 37,896.82 is: 52,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,756.96 : 85,226.19 = 37,896.82 : x
  2. Step 2: Convert to fraction form
    61,756.96/85,226.19 = 37,896.82/x
  3. Step 3: Cross multiply
    61,756.96x = 85,226.19 × 37,896.82
  4. Step 4: Simplify right side
    61,756.96x = 3,229,801,581.72
  5. Step 5: Solve for x
    x = 3,229,801,581.72/61,756.96
  6. Step 6: Final answer
    x = 52,298.58

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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.