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Finding the Fourth Proportional to 61,713.84, 85,164.96 and 33,419.52

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Solution

The fourth proportional to 61,713.84, 85,164.96 and 33,419.52 is: 46,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.84 : 85,164.96 = 33,419.52 : x
  2. Step 2: Convert to fraction form
    61,713.84/85,164.96 = 33,419.52/x
  3. Step 3: Cross multiply
    61,713.84x = 85,164.96 × 33,419.52
  4. Step 4: Simplify right side
    61,713.84x = 2,846,172,084.02
  5. Step 5: Solve for x
    x = 2,846,172,084.02/61,713.84
  6. Step 6: Final answer
    x = 46,118.86

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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.