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Finding the Fourth Proportional to 69,305.42, 103,970.96 and 21,932.42

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Solution

The fourth proportional to 69,305.42, 103,970.96 and 21,932.42 is: 32,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305.42 : 103,970.96 = 21,932.42 : x
  2. Step 2: Convert to fraction form
    69,305.42/103,970.96 = 21,932.42/x
  3. Step 3: Cross multiply
    69,305.42x = 103,970.96 × 21,932.42
  4. Step 4: Simplify right side
    69,305.42x = 2,280,334,762.52
  5. Step 5: Solve for x
    x = 2,280,334,762.52/69,305.42
  6. Step 6: Final answer
    x = 32,902.69

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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.