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Finding the Fourth Proportional to 61,805, 92,702.84 and 19,683.38

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Solution

The fourth proportional to 61,805, 92,702.84 and 19,683.38 is: 29,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,805 : 92,702.84 = 19,683.38 : x
  2. Step 2: Convert to fraction form
    61,805/92,702.84 = 19,683.38/x
  3. Step 3: Cross multiply
    61,805x = 92,702.84 × 19,683.38
  4. Step 4: Simplify right side
    61,805x = 1,824,705,226.80
  5. Step 5: Solve for x
    x = 1,824,705,226.80/61,805
  6. Step 6: Final answer
    x = 29,523.59

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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.