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Finding the Fourth Proportional to 61,826.51, 92,751.93 and 22,382.75

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Solution

The fourth proportional to 61,826.51, 92,751.93 and 22,382.75 is: 33,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,826.51 : 92,751.93 = 22,382.75 : x
  2. Step 2: Convert to fraction form
    61,826.51/92,751.93 = 22,382.75/x
  3. Step 3: Cross multiply
    61,826.51x = 92,751.93 × 22,382.75
  4. Step 4: Simplify right side
    61,826.51x = 2,076,043,493.09
  5. Step 5: Solve for x
    x = 2,076,043,493.09/61,826.51
  6. Step 6: Final answer
    x = 33,578.53

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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.