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Finding the Fourth Proportional to 61,853.75, 92,657.75 and 30,593.59

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Solution

The fourth proportional to 61,853.75, 92,657.75 and 30,593.59 is: 45,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,853.75 : 92,657.75 = 30,593.59 : x
  2. Step 2: Convert to fraction form
    61,853.75/92,657.75 = 30,593.59/x
  3. Step 3: Cross multiply
    61,853.75x = 92,657.75 × 30,593.59
  4. Step 4: Simplify right side
    61,853.75x = 2,834,733,060.85
  5. Step 5: Solve for x
    x = 2,834,733,060.85/61,853.75
  6. Step 6: Final answer
    x = 45,829.61

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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.