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Finding the Fourth Proportional to 32,008.37, 47,983.16 and 12,282.99

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Solution

The fourth proportional to 32,008.37, 47,983.16 and 12,282.99 is: 18,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.37 : 47,983.16 = 12,282.99 : x
  2. Step 2: Convert to fraction form
    32,008.37/47,983.16 = 12,282.99/x
  3. Step 3: Cross multiply
    32,008.37x = 47,983.16 × 12,282.99
  4. Step 4: Simplify right side
    32,008.37x = 589,376,760.58
  5. Step 5: Solve for x
    x = 589,376,760.58/32,008.37
  6. Step 6: Final answer
    x = 18,413.21

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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.