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Finding the Fourth Proportional to 61,505, 92,257.50 and 19,952

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Solution

The fourth proportional to 61,505, 92,257.50 and 19,952 is: 29,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,505 : 92,257.50 = 19,952 : x
  2. Step 2: Convert to fraction form
    61,505/92,257.50 = 19,952/x
  3. Step 3: Cross multiply
    61,505x = 92,257.50 × 19,952
  4. Step 4: Simplify right side
    61,505x = 1,840,721,640
  5. Step 5: Solve for x
    x = 1,840,721,640/61,505
  6. Step 6: Final answer
    x = 29,928

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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.