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Finding the Fourth Proportional to 36,523.01, 54,751.62 and 13,133

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Solution

The fourth proportional to 36,523.01, 54,751.62 and 13,133 is: 19,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523.01 : 54,751.62 = 13,133 : x
  2. Step 2: Convert to fraction form
    36,523.01/54,751.62 = 13,133/x
  3. Step 3: Cross multiply
    36,523.01x = 54,751.62 × 13,133
  4. Step 4: Simplify right side
    36,523.01x = 719,053,025.46
  5. Step 5: Solve for x
    x = 719,053,025.46/36,523.01
  6. Step 6: Final answer
    x = 19,687.67

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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.