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Finding the Fourth Proportional to 61,878.13, 85,391.85 and 33,583.82

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Solution

The fourth proportional to 61,878.13, 85,391.85 and 33,583.82 is: 46,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,878.13 : 85,391.85 = 33,583.82 : x
  2. Step 2: Convert to fraction form
    61,878.13/85,391.85 = 33,583.82/x
  3. Step 3: Cross multiply
    61,878.13x = 85,391.85 × 33,583.82
  4. Step 4: Simplify right side
    61,878.13x = 2,867,784,218.85
  5. Step 5: Solve for x
    x = 2,867,784,218.85/61,878.13
  6. Step 6: Final answer
    x = 46,345.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.