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Finding the Fourth Proportional to 81,727.32, 122,503.86 and 46,591.32

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Solution

The fourth proportional to 81,727.32, 122,503.86 and 46,591.32 is: 69,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,727.32 : 122,503.86 = 46,591.32 : x
  2. Step 2: Convert to fraction form
    81,727.32/122,503.86 = 46,591.32/x
  3. Step 3: Cross multiply
    81,727.32x = 122,503.86 × 46,591.32
  4. Step 4: Simplify right side
    81,727.32x = 5,707,616,542.50
  5. Step 5: Solve for x
    x = 5,707,616,542.50/81,727.32
  6. Step 6: Final answer
    x = 69,837.31

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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.