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Finding the Fourth Proportional to 61,708.64, 85,157.92 and 33,414.33

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Solution

The fourth proportional to 61,708.64, 85,157.92 and 33,414.33 is: 46,111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,708.64 : 85,157.92 = 33,414.33 : x
  2. Step 2: Convert to fraction form
    61,708.64/85,157.92 = 33,414.33/x
  3. Step 3: Cross multiply
    61,708.64x = 85,157.92 × 33,414.33
  4. Step 4: Simplify right side
    61,708.64x = 2,845,494,673.92
  5. Step 5: Solve for x
    x = 2,845,494,673.92/61,708.64
  6. Step 6: Final answer
    x = 46,111.77

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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.