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Finding the Fourth Proportional to 61,712.80, 85,163.24 and 33,417.84

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Solution

The fourth proportional to 61,712.80, 85,163.24 and 33,417.84 is: 46,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712.80 : 85,163.24 = 33,417.84 : x
  2. Step 2: Convert to fraction form
    61,712.80/85,163.24 = 33,417.84/x
  3. Step 3: Cross multiply
    61,712.80x = 85,163.24 × 33,417.84
  4. Step 4: Simplify right side
    61,712.80x = 2,845,971,528.20
  5. Step 5: Solve for x
    x = 2,845,971,528.20/61,712.80
  6. Step 6: Final answer
    x = 46,116.39

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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.