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Finding the Fourth Proportional to 30,331.90, 45,476.31 and 11,596.15

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Solution

The fourth proportional to 30,331.90, 45,476.31 and 11,596.15 is: 17,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.90 : 45,476.31 = 11,596.15 : x
  2. Step 2: Convert to fraction form
    30,331.90/45,476.31 = 11,596.15/x
  3. Step 3: Cross multiply
    30,331.90x = 45,476.31 × 11,596.15
  4. Step 4: Simplify right side
    30,331.90x = 527,350,112.21
  5. Step 5: Solve for x
    x = 527,350,112.21/30,331.90
  6. Step 6: Final answer
    x = 17,385.99

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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.