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Finding the Fourth Proportional to 100,959.31, 151,433.50 and 30,833.16

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Solution

The fourth proportional to 100,959.31, 151,433.50 and 30,833.16 is: 46,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.31 : 151,433.50 = 30,833.16 : x
  2. Step 2: Convert to fraction form
    100,959.31/151,433.50 = 30,833.16/x
  3. Step 3: Cross multiply
    100,959.31x = 151,433.50 × 30,833.16
  4. Step 4: Simplify right side
    100,959.31x = 4,669,172,747.71
  5. Step 5: Solve for x
    x = 4,669,172,747.71/100,959.31
  6. Step 6: Final answer
    x = 46,248.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.