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Finding the Fourth Proportional to 61,894.74, 92,813.76 and 33,824.22

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Solution

The fourth proportional to 61,894.74, 92,813.76 and 33,824.22 is: 50,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,894.74 : 92,813.76 = 33,824.22 : x
  2. Step 2: Convert to fraction form
    61,894.74/92,813.76 = 33,824.22/x
  3. Step 3: Cross multiply
    61,894.74x = 92,813.76 × 33,824.22
  4. Step 4: Simplify right side
    61,894.74x = 3,139,353,037.27
  5. Step 5: Solve for x
    x = 3,139,353,037.27/61,894.74
  6. Step 6: Final answer
    x = 50,720.84

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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.