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Finding the Fourth Proportional to 61,715.36, 85,166.56 and 34,857.78

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Solution

The fourth proportional to 61,715.36, 85,166.56 and 34,857.78 is: 48,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,715.36 : 85,166.56 = 34,857.78 : x
  2. Step 2: Convert to fraction form
    61,715.36/85,166.56 = 34,857.78/x
  3. Step 3: Cross multiply
    61,715.36x = 85,166.56 × 34,857.78
  4. Step 4: Simplify right side
    61,715.36x = 2,968,717,211.84
  5. Step 5: Solve for x
    x = 2,968,717,211.84/61,715.36
  6. Step 6: Final answer
    x = 48,103.38

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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.