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Finding the Fourth Proportional to 61,436, 92,169.14 and 19,883

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Solution

The fourth proportional to 61,436, 92,169.14 and 19,883 is: 29,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,436 : 92,169.14 = 19,883 : x
  2. Step 2: Convert to fraction form
    61,436/92,169.14 = 19,883/x
  3. Step 3: Cross multiply
    61,436x = 92,169.14 × 19,883
  4. Step 4: Simplify right side
    61,436x = 1,832,599,010.62
  5. Step 5: Solve for x
    x = 1,832,599,010.62/61,436
  6. Step 6: Final answer
    x = 29,829.40

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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.