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Finding the Fourth Proportional to 36,802.10, 55,202.78 and 15,724.20

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Solution

The fourth proportional to 36,802.10, 55,202.78 and 15,724.20 is: 23,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.10 : 55,202.78 = 15,724.20 : x
  2. Step 2: Convert to fraction form
    36,802.10/55,202.78 = 15,724.20/x
  3. Step 3: Cross multiply
    36,802.10x = 55,202.78 × 15,724.20
  4. Step 4: Simplify right side
    36,802.10x = 868,019,553.28
  5. Step 5: Solve for x
    x = 868,019,553.28/36,802.10
  6. Step 6: Final answer
    x = 23,586.14

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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.