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Finding the Fourth Proportional to 61,652.29, 92,404.57 and 31,635.72

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Solution

The fourth proportional to 61,652.29, 92,404.57 and 31,635.72 is: 47,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,652.29 : 92,404.57 = 31,635.72 : x
  2. Step 2: Convert to fraction form
    61,652.29/92,404.57 = 31,635.72/x
  3. Step 3: Cross multiply
    61,652.29x = 92,404.57 × 31,635.72
  4. Step 4: Simplify right side
    61,652.29x = 2,923,285,103.24
  5. Step 5: Solve for x
    x = 2,923,285,103.24/61,652.29
  6. Step 6: Final answer
    x = 47,415.68

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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.