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Finding the Fourth Proportional to 61,114.83, 84,342.36 and 33,894.03

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Solution

The fourth proportional to 61,114.83, 84,342.36 and 33,894.03 is: 46,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114.83 : 84,342.36 = 33,894.03 : x
  2. Step 2: Convert to fraction form
    61,114.83/84,342.36 = 33,894.03/x
  3. Step 3: Cross multiply
    61,114.83x = 84,342.36 × 33,894.03
  4. Step 4: Simplify right side
    61,114.83x = 2,858,702,480.11
  5. Step 5: Solve for x
    x = 2,858,702,480.11/61,114.83
  6. Step 6: Final answer
    x = 46,775.92

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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.