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Finding the Fourth Proportional to 61,083.88, 91,646.32 and 33,006.44

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Solution

The fourth proportional to 61,083.88, 91,646.32 and 33,006.44 is: 49,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,083.88 : 91,646.32 = 33,006.44 : x
  2. Step 2: Convert to fraction form
    61,083.88/91,646.32 = 33,006.44/x
  3. Step 3: Cross multiply
    61,083.88x = 91,646.32 × 33,006.44
  4. Step 4: Simplify right side
    61,083.88x = 3,024,918,908.90
  5. Step 5: Solve for x
    x = 3,024,918,908.90/61,083.88
  6. Step 6: Final answer
    x = 49,520.74

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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.