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Finding the Fourth Proportional to 61,747.56, 85,202.64 and 34,524

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Solution

The fourth proportional to 61,747.56, 85,202.64 and 34,524 is: 47,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,747.56 : 85,202.64 = 34,524 : x
  2. Step 2: Convert to fraction form
    61,747.56/85,202.64 = 34,524/x
  3. Step 3: Cross multiply
    61,747.56x = 85,202.64 × 34,524
  4. Step 4: Simplify right side
    61,747.56x = 2,941,535,943.36
  5. Step 5: Solve for x
    x = 2,941,535,943.36/61,747.56
  6. Step 6: Final answer
    x = 47,638.09

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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.