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Finding the Fourth Proportional to 61,898.50, 92,847.75 and 34,196.50

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Solution

The fourth proportional to 61,898.50, 92,847.75 and 34,196.50 is: 51,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,898.50 : 92,847.75 = 34,196.50 : x
  2. Step 2: Convert to fraction form
    61,898.50/92,847.75 = 34,196.50/x
  3. Step 3: Cross multiply
    61,898.50x = 92,847.75 × 34,196.50
  4. Step 4: Simplify right side
    61,898.50x = 3,175,068,082.88
  5. Step 5: Solve for x
    x = 3,175,068,082.88/61,898.50
  6. Step 6: Final answer
    x = 51,294.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.