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Finding the Fourth Proportional to 61,853.25, 92,657.00 and 30,593.09

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Solution

The fourth proportional to 61,853.25, 92,657.00 and 30,593.09 is: 45,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,853.25 : 92,657.00 = 30,593.09 : x
  2. Step 2: Convert to fraction form
    61,853.25/92,657.00 = 30,593.09/x
  3. Step 3: Cross multiply
    61,853.25x = 92,657.00 × 30,593.09
  4. Step 4: Simplify right side
    61,853.25x = 2,834,663,787.16
  5. Step 5: Solve for x
    x = 2,834,663,787.16/61,853.25
  6. Step 6: Final answer
    x = 45,828.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.