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Finding the Fourth Proportional to 61,464.84, 92,166.42 and 35,827.44

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Solution

The fourth proportional to 61,464.84, 92,166.42 and 35,827.44 is: 53,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.84 : 92,166.42 = 35,827.44 : x
  2. Step 2: Convert to fraction form
    61,464.84/92,166.42 = 35,827.44/x
  3. Step 3: Cross multiply
    61,464.84x = 92,166.42 × 35,827.44
  4. Step 4: Simplify right side
    61,464.84x = 3,302,086,882.56
  5. Step 5: Solve for x
    x = 3,302,086,882.56/61,464.84
  6. Step 6: Final answer
    x = 53,723.18

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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.