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Finding the Fourth Proportional to 69,832, 104,812.80 and 32,412.16

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Solution

The fourth proportional to 69,832, 104,812.80 and 32,412.16 is: 48,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,832 : 104,812.80 = 32,412.16 : x
  2. Step 2: Convert to fraction form
    69,832/104,812.80 = 32,412.16/x
  3. Step 3: Cross multiply
    69,832x = 104,812.80 × 32,412.16
  4. Step 4: Simplify right side
    69,832x = 3,397,209,243.65
  5. Step 5: Solve for x
    x = 3,397,209,243.65/69,832
  6. Step 6: Final answer
    x = 48,648.32

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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.