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Finding the Fourth Proportional to 61,213.56, 91,835.84 and 29,638.74

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Solution

The fourth proportional to 61,213.56, 91,835.84 and 29,638.74 is: 44,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,213.56 : 91,835.84 = 29,638.74 : x
  2. Step 2: Convert to fraction form
    61,213.56/91,835.84 = 29,638.74/x
  3. Step 3: Cross multiply
    61,213.56x = 91,835.84 × 29,638.74
  4. Step 4: Simplify right side
    61,213.56x = 2,721,899,002.92
  5. Step 5: Solve for x
    x = 2,721,899,002.92/61,213.56
  6. Step 6: Final answer
    x = 44,465.62

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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.