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Finding the Fourth Proportional to 74,694.40, 112,062.42 and 32,578.24

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Solution

The fourth proportional to 74,694.40, 112,062.42 and 32,578.24 is: 48,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,694.40 : 112,062.42 = 32,578.24 : x
  2. Step 2: Convert to fraction form
    74,694.40/112,062.42 = 32,578.24/x
  3. Step 3: Cross multiply
    74,694.40x = 112,062.42 × 32,578.24
  4. Step 4: Simplify right side
    74,694.40x = 3,650,796,413.74
  5. Step 5: Solve for x
    x = 3,650,796,413.74/74,694.40
  6. Step 6: Final answer
    x = 48,876.44

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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.