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Finding the Fourth Proportional to 29,612.50, 44,418.75 and 7,724.50

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Solution

The fourth proportional to 29,612.50, 44,418.75 and 7,724.50 is: 11,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,612.50 : 44,418.75 = 7,724.50 : x
  2. Step 2: Convert to fraction form
    29,612.50/44,418.75 = 7,724.50/x
  3. Step 3: Cross multiply
    29,612.50x = 44,418.75 × 7,724.50
  4. Step 4: Simplify right side
    29,612.50x = 343,112,634.38
  5. Step 5: Solve for x
    x = 343,112,634.38/29,612.50
  6. Step 6: Final answer
    x = 11,586.75

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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.