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Finding the Fourth Proportional to 46,181.58, 69,262.31 and 12,446.81

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Solution

The fourth proportional to 46,181.58, 69,262.31 and 12,446.81 is: 18,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,181.58 : 69,262.31 = 12,446.81 : x
  2. Step 2: Convert to fraction form
    46,181.58/69,262.31 = 12,446.81/x
  3. Step 3: Cross multiply
    46,181.58x = 69,262.31 × 12,446.81
  4. Step 4: Simplify right side
    46,181.58x = 862,094,435.30
  5. Step 5: Solve for x
    x = 862,094,435.30/46,181.58
  6. Step 6: Final answer
    x = 18,667.50

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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.