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Finding the Fourth Proportional to 61,712.64, 85,163.16 and 33,418.20

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Solution

The fourth proportional to 61,712.64, 85,163.16 and 33,418.20 is: 46,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712.64 : 85,163.16 = 33,418.20 : x
  2. Step 2: Convert to fraction form
    61,712.64/85,163.16 = 33,418.20/x
  3. Step 3: Cross multiply
    61,712.64x = 85,163.16 × 33,418.20
  4. Step 4: Simplify right side
    61,712.64x = 2,845,999,513.51
  5. Step 5: Solve for x
    x = 2,845,999,513.51/61,712.64
  6. Step 6: Final answer
    x = 46,116.96

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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.