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Finding the Fourth Proportional to 61,493.84, 92,171.64 and 30,350.96

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Solution

The fourth proportional to 61,493.84, 92,171.64 and 30,350.96 is: 45,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,493.84 : 92,171.64 = 30,350.96 : x
  2. Step 2: Convert to fraction form
    61,493.84/92,171.64 = 30,350.96/x
  3. Step 3: Cross multiply
    61,493.84x = 92,171.64 × 30,350.96
  4. Step 4: Simplify right side
    61,493.84x = 2,797,497,758.77
  5. Step 5: Solve for x
    x = 2,797,497,758.77/61,493.84
  6. Step 6: Final answer
    x = 45,492.33

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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.