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Finding the Fourth Proportional to 32,942.16, 49,413.32 and 15,424.30

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Solution

The fourth proportional to 32,942.16, 49,413.32 and 15,424.30 is: 23,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.16 : 49,413.32 = 15,424.30 : x
  2. Step 2: Convert to fraction form
    32,942.16/49,413.32 = 15,424.30/x
  3. Step 3: Cross multiply
    32,942.16x = 49,413.32 × 15,424.30
  4. Step 4: Simplify right side
    32,942.16x = 762,165,871.68
  5. Step 5: Solve for x
    x = 762,165,871.68/32,942.16
  6. Step 6: Final answer
    x = 23,136.49

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1.5x scale

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.