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Finding the Fourth Proportional to 54,346.60, 81,455.10 and 22,756.60

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Solution

The fourth proportional to 54,346.60, 81,455.10 and 22,756.60 is: 34,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,346.60 : 81,455.10 = 22,756.60 : x
  2. Step 2: Convert to fraction form
    54,346.60/81,455.10 = 22,756.60/x
  3. Step 3: Cross multiply
    54,346.60x = 81,455.10 × 22,756.60
  4. Step 4: Simplify right side
    54,346.60x = 1,853,641,128.66
  5. Step 5: Solve for x
    x = 1,853,641,128.66/54,346.60
  6. Step 6: Final answer
    x = 34,107.77

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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.