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Finding the Fourth Proportional to 36,409.40, 54,614.14 and 10,114.16

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Solution

The fourth proportional to 36,409.40, 54,614.14 and 10,114.16 is: 15,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.40 : 54,614.14 = 10,114.16 : x
  2. Step 2: Convert to fraction form
    36,409.40/54,614.14 = 10,114.16/x
  3. Step 3: Cross multiply
    36,409.40x = 54,614.14 × 10,114.16
  4. Step 4: Simplify right side
    36,409.40x = 552,376,150.22
  5. Step 5: Solve for x
    x = 552,376,150.22/36,409.40
  6. Step 6: Final answer
    x = 15,171.25

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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.