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Finding the Fourth Proportional to 61,938.64, 85,474.92 and 33,644.08

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Solution

The fourth proportional to 61,938.64, 85,474.92 and 33,644.08 is: 46,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938.64 : 85,474.92 = 33,644.08 : x
  2. Step 2: Convert to fraction form
    61,938.64/85,474.92 = 33,644.08/x
  3. Step 3: Cross multiply
    61,938.64x = 85,474.92 × 33,644.08
  4. Step 4: Simplify right side
    61,938.64x = 2,875,725,046.47
  5. Step 5: Solve for x
    x = 2,875,725,046.47/61,938.64
  6. Step 6: Final answer
    x = 46,428.61

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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.