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Finding the Fourth Proportional to 36,471, 54,728.01 and 15,409.67

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Solution

The fourth proportional to 36,471, 54,728.01 and 15,409.67 is: 23,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,471 : 54,728.01 = 15,409.67 : x
  2. Step 2: Convert to fraction form
    36,471/54,728.01 = 15,409.67/x
  3. Step 3: Cross multiply
    36,471x = 54,728.01 × 15,409.67
  4. Step 4: Simplify right side
    36,471x = 843,340,300.22
  5. Step 5: Solve for x
    x = 843,340,300.22/36,471
  6. Step 6: Final answer
    x = 23,123.59

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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.