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Finding the Fourth Proportional to 69,148.68, 103,696.92 and 22,389

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Solution

The fourth proportional to 69,148.68, 103,696.92 and 22,389 is: 33,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,148.68 : 103,696.92 = 22,389 : x
  2. Step 2: Convert to fraction form
    69,148.68/103,696.92 = 22,389/x
  3. Step 3: Cross multiply
    69,148.68x = 103,696.92 × 22,389
  4. Step 4: Simplify right side
    69,148.68x = 2,321,670,341.88
  5. Step 5: Solve for x
    x = 2,321,670,341.88/69,148.68
  6. Step 6: Final answer
    x = 33,575.05

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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.