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Finding the Fourth Proportional to 71,334.25, 106,928.47 and 46,424.32

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Solution

The fourth proportional to 71,334.25, 106,928.47 and 46,424.32 is: 69,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,334.25 : 106,928.47 = 46,424.32 : x
  2. Step 2: Convert to fraction form
    71,334.25/106,928.47 = 46,424.32/x
  3. Step 3: Cross multiply
    71,334.25x = 106,928.47 × 46,424.32
  4. Step 4: Simplify right side
    71,334.25x = 4,964,081,508.39
  5. Step 5: Solve for x
    x = 4,964,081,508.39/71,334.25
  6. Step 6: Final answer
    x = 69,589.03

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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.