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Finding the Fourth Proportional to 46,353.30, 64,020.12 and 31,219.68

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Solution

The fourth proportional to 46,353.30, 64,020.12 and 31,219.68 is: 43,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,353.30 : 64,020.12 = 31,219.68 : x
  2. Step 2: Convert to fraction form
    46,353.30/64,020.12 = 31,219.68/x
  3. Step 3: Cross multiply
    46,353.30x = 64,020.12 × 31,219.68
  4. Step 4: Simplify right side
    46,353.30x = 1,998,687,659.96
  5. Step 5: Solve for x
    x = 1,998,687,659.96/46,353.30
  6. Step 6: Final answer
    x = 43,118.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.