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Finding the Fourth Proportional to 71,382.38, 107,228.08 and 46,409.58

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Solution

The fourth proportional to 71,382.38, 107,228.08 and 46,409.58 is: 69,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382.38 : 107,228.08 = 46,409.58 : x
  2. Step 2: Convert to fraction form
    71,382.38/107,228.08 = 46,409.58/x
  3. Step 3: Cross multiply
    71,382.38x = 107,228.08 × 46,409.58
  4. Step 4: Simplify right side
    71,382.38x = 4,976,410,157.01
  5. Step 5: Solve for x
    x = 4,976,410,157.01/71,382.38
  6. Step 6: Final answer
    x = 69,714.83

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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.