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Finding the Fourth Proportional to 69,189.50, 103,784.25 and 22,442.38

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Solution

The fourth proportional to 69,189.50, 103,784.25 and 22,442.38 is: 33,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189.50 : 103,784.25 = 22,442.38 : x
  2. Step 2: Convert to fraction form
    69,189.50/103,784.25 = 22,442.38/x
  3. Step 3: Cross multiply
    69,189.50x = 103,784.25 × 22,442.38
  4. Step 4: Simplify right side
    69,189.50x = 2,329,165,576.52
  5. Step 5: Solve for x
    x = 2,329,165,576.52/69,189.50
  6. Step 6: Final answer
    x = 33,663.57

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1.5x scale

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.