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Finding the Fourth Proportional to 61,691.49, 85,134.24 and 33,397.16

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Solution

The fourth proportional to 61,691.49, 85,134.24 and 33,397.16 is: 46,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,691.49 : 85,134.24 = 33,397.16 : x
  2. Step 2: Convert to fraction form
    61,691.49/85,134.24 = 33,397.16/x
  3. Step 3: Cross multiply
    61,691.49x = 85,134.24 × 33,397.16
  4. Step 4: Simplify right side
    61,691.49x = 2,843,241,409.09
  5. Step 5: Solve for x
    x = 2,843,241,409.09/61,691.49
  6. Step 6: Final answer
    x = 46,088.07

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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.