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Finding the Fourth Proportional to 61,858.98, 92,578.14 and 38,181.47

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Solution

The fourth proportional to 61,858.98, 92,578.14 and 38,181.47 is: 57,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,858.98 : 92,578.14 = 38,181.47 : x
  2. Step 2: Convert to fraction form
    61,858.98/92,578.14 = 38,181.47/x
  3. Step 3: Cross multiply
    61,858.98x = 92,578.14 × 38,181.47
  4. Step 4: Simplify right side
    61,858.98x = 3,534,769,012.18
  5. Step 5: Solve for x
    x = 3,534,769,012.18/61,858.98
  6. Step 6: Final answer
    x = 57,142.37

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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.