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Finding the Fourth Proportional to 69,112.80, 103,646.88 and 22,354.56

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Solution

The fourth proportional to 69,112.80, 103,646.88 and 22,354.56 is: 33,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,112.80 : 103,646.88 = 22,354.56 : x
  2. Step 2: Convert to fraction form
    69,112.80/103,646.88 = 22,354.56/x
  3. Step 3: Cross multiply
    69,112.80x = 103,646.88 × 22,354.56
  4. Step 4: Simplify right side
    69,112.80x = 2,316,980,397.77
  5. Step 5: Solve for x
    x = 2,316,980,397.77/69,112.80
  6. Step 6: Final answer
    x = 33,524.62

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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.