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Finding the Fourth Proportional to 69,405.72, 104,097.78 and 22,648.20

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Solution

The fourth proportional to 69,405.72, 104,097.78 and 22,648.20 is: 33,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,405.72 : 104,097.78 = 22,648.20 : x
  2. Step 2: Convert to fraction form
    69,405.72/104,097.78 = 22,648.20/x
  3. Step 3: Cross multiply
    69,405.72x = 104,097.78 × 22,648.20
  4. Step 4: Simplify right side
    69,405.72x = 2,357,627,341.00
  5. Step 5: Solve for x
    x = 2,357,627,341.00/69,405.72
  6. Step 6: Final answer
    x = 33,968.78

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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.