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Finding the Fourth Proportional to 61,742.84, 85,205.70 and 33,449.13

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Solution

The fourth proportional to 61,742.84, 85,205.70 and 33,449.13 is: 46,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742.84 : 85,205.70 = 33,449.13 : x
  2. Step 2: Convert to fraction form
    61,742.84/85,205.70 = 33,449.13/x
  3. Step 3: Cross multiply
    61,742.84x = 85,205.70 × 33,449.13
  4. Step 4: Simplify right side
    61,742.84x = 2,850,056,536.04
  5. Step 5: Solve for x
    x = 2,850,056,536.04/61,742.84
  6. Step 6: Final answer
    x = 46,160.12

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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.