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Finding the Fourth Proportional to 36,097.49, 49,815.15 and 20,180.23

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Solution

The fourth proportional to 36,097.49, 49,815.15 and 20,180.23 is: 27,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.49 : 49,815.15 = 20,180.23 : x
  2. Step 2: Convert to fraction form
    36,097.49/49,815.15 = 20,180.23/x
  3. Step 3: Cross multiply
    36,097.49x = 49,815.15 × 20,180.23
  4. Step 4: Simplify right side
    36,097.49x = 1,005,281,184.48
  5. Step 5: Solve for x
    x = 1,005,281,184.48/36,097.49
  6. Step 6: Final answer
    x = 27,849.06

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.