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Finding the Fourth Proportional to 61,770.84, 85,243.82 and 33,476.52

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Solution

The fourth proportional to 61,770.84, 85,243.82 and 33,476.52 is: 46,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,770.84 : 85,243.82 = 33,476.52 : x
  2. Step 2: Convert to fraction form
    61,770.84/85,243.82 = 33,476.52/x
  3. Step 3: Cross multiply
    61,770.84x = 85,243.82 × 33,476.52
  4. Step 4: Simplify right side
    61,770.84x = 2,853,666,445.11
  5. Step 5: Solve for x
    x = 2,853,666,445.11/61,770.84
  6. Step 6: Final answer
    x = 46,197.63

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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.