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Finding the Fourth Proportional to 32,189.50, 48,282.09 and 8,816.14

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Solution

The fourth proportional to 32,189.50, 48,282.09 and 8,816.14 is: 13,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.50 : 48,282.09 = 8,816.14 : x
  2. Step 2: Convert to fraction form
    32,189.50/48,282.09 = 8,816.14/x
  3. Step 3: Cross multiply
    32,189.50x = 48,282.09 × 8,816.14
  4. Step 4: Simplify right side
    32,189.50x = 425,661,664.93
  5. Step 5: Solve for x
    x = 425,661,664.93/32,189.50
  6. Step 6: Final answer
    x = 13,223.62

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Double scale
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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.