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Finding the Fourth Proportional to 61,918.92, 92,878.38 and 24,957

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Solution

The fourth proportional to 61,918.92, 92,878.38 and 24,957 is: 37,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,918.92 : 92,878.38 = 24,957 : x
  2. Step 2: Convert to fraction form
    61,918.92/92,878.38 = 24,957/x
  3. Step 3: Cross multiply
    61,918.92x = 92,878.38 × 24,957
  4. Step 4: Simplify right side
    61,918.92x = 2,317,965,729.66
  5. Step 5: Solve for x
    x = 2,317,965,729.66/61,918.92
  6. Step 6: Final answer
    x = 37,435.50

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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.