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Finding the Fourth Proportional to 69,189.75, 103,784.63 and 22,442.63

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Solution

The fourth proportional to 69,189.75, 103,784.63 and 22,442.63 is: 33,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189.75 : 103,784.63 = 22,442.63 : x
  2. Step 2: Convert to fraction form
    69,189.75/103,784.63 = 22,442.63/x
  3. Step 3: Cross multiply
    69,189.75x = 103,784.63 × 22,442.63
  4. Step 4: Simplify right side
    69,189.75x = 2,329,199,419.64
  5. Step 5: Solve for x
    x = 2,329,199,419.64/69,189.75
  6. Step 6: Final answer
    x = 33,663.94

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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.