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Finding the Fourth Proportional to 32,640.24, 48,945.24 and 10,448.67

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Solution

The fourth proportional to 32,640.24, 48,945.24 and 10,448.67 is: 15,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.24 : 48,945.24 = 10,448.67 : x
  2. Step 2: Convert to fraction form
    32,640.24/48,945.24 = 10,448.67/x
  3. Step 3: Cross multiply
    32,640.24x = 48,945.24 × 10,448.67
  4. Step 4: Simplify right side
    32,640.24x = 511,412,660.83
  5. Step 5: Solve for x
    x = 511,412,660.83/32,640.24
  6. Step 6: Final answer
    x = 15,668.16

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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.