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Finding the Fourth Proportional to 69,149.25, 103,739.48 and 21,122.16

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Solution

The fourth proportional to 69,149.25, 103,739.48 and 21,122.16 is: 31,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149.25 : 103,739.48 = 21,122.16 : x
  2. Step 2: Convert to fraction form
    69,149.25/103,739.48 = 21,122.16/x
  3. Step 3: Cross multiply
    69,149.25x = 103,739.48 × 21,122.16
  4. Step 4: Simplify right side
    69,149.25x = 2,191,201,894.88
  5. Step 5: Solve for x
    x = 2,191,201,894.88/69,149.25
  6. Step 6: Final answer
    x = 31,688.01

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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.