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Finding the Fourth Proportional to 69,149.80, 103,661.34 and 22,378.60

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Solution

The fourth proportional to 69,149.80, 103,661.34 and 22,378.60 is: 33,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149.80 : 103,661.34 = 22,378.60 : x
  2. Step 2: Convert to fraction form
    69,149.80/103,661.34 = 22,378.60/x
  3. Step 3: Cross multiply
    69,149.80x = 103,661.34 × 22,378.60
  4. Step 4: Simplify right side
    69,149.80x = 2,319,795,663.32
  5. Step 5: Solve for x
    x = 2,319,795,663.32/69,149.80
  6. Step 6: Final answer
    x = 33,547.40

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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.