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Finding the Fourth Proportional to 61,906.38, 85,424.90 and 38,029.20

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Solution

The fourth proportional to 61,906.38, 85,424.90 and 38,029.20 is: 52,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,906.38 : 85,424.90 = 38,029.20 : x
  2. Step 2: Convert to fraction form
    61,906.38/85,424.90 = 38,029.20/x
  3. Step 3: Cross multiply
    61,906.38x = 85,424.90 × 38,029.20
  4. Step 4: Simplify right side
    61,906.38x = 3,248,640,607.08
  5. Step 5: Solve for x
    x = 3,248,640,607.08/61,906.38
  6. Step 6: Final answer
    x = 52,476.67

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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.