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Finding the Fourth Proportional to 61,747.44, 85,213.16 and 34,889.42

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Solution

The fourth proportional to 61,747.44, 85,213.16 and 34,889.42 is: 48,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,747.44 : 85,213.16 = 34,889.42 : x
  2. Step 2: Convert to fraction form
    61,747.44/85,213.16 = 34,889.42/x
  3. Step 3: Cross multiply
    61,747.44x = 85,213.16 × 34,889.42
  4. Step 4: Simplify right side
    61,747.44x = 2,973,037,128.25
  5. Step 5: Solve for x
    x = 2,973,037,128.25/61,747.44
  6. Step 6: Final answer
    x = 48,148.35

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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.