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Finding the Fourth Proportional to 61,817.84, 85,310.25 and 34,964.32

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Solution

The fourth proportional to 61,817.84, 85,310.25 and 34,964.32 is: 48,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,817.84 : 85,310.25 = 34,964.32 : x
  2. Step 2: Convert to fraction form
    61,817.84/85,310.25 = 34,964.32/x
  3. Step 3: Cross multiply
    61,817.84x = 85,310.25 × 34,964.32
  4. Step 4: Simplify right side
    61,817.84x = 2,982,814,278.91
  5. Step 5: Solve for x
    x = 2,982,814,278.91/61,817.84
  6. Step 6: Final answer
    x = 48,251.67

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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.