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Finding the Fourth Proportional to 29,561.32, 44,329.74 and 12,019.24

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Solution

The fourth proportional to 29,561.32, 44,329.74 and 12,019.24 is: 18,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561.32 : 44,329.74 = 12,019.24 : x
  2. Step 2: Convert to fraction form
    29,561.32/44,329.74 = 12,019.24/x
  3. Step 3: Cross multiply
    29,561.32x = 44,329.74 × 12,019.24
  4. Step 4: Simplify right side
    29,561.32x = 532,809,784.20
  5. Step 5: Solve for x
    x = 532,809,784.20/29,561.32
  6. Step 6: Final answer
    x = 18,023.88

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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.