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Finding the Fourth Proportional to 61,754.35, 85,219.89 and 34,896.28

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Solution

The fourth proportional to 61,754.35, 85,219.89 and 34,896.28 is: 48,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754.35 : 85,219.89 = 34,896.28 : x
  2. Step 2: Convert to fraction form
    61,754.35/85,219.89 = 34,896.28/x
  3. Step 3: Cross multiply
    61,754.35x = 85,219.89 × 34,896.28
  4. Step 4: Simplify right side
    61,754.35x = 2,973,857,143.01
  5. Step 5: Solve for x
    x = 2,973,857,143.01/61,754.35
  6. Step 6: Final answer
    x = 48,156.24

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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.