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Finding the Fourth Proportional to 29,970.24, 44,956.64 and 9,194.56

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Solution

The fourth proportional to 29,970.24, 44,956.64 and 9,194.56 is: 13,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.24 : 44,956.64 = 9,194.56 : x
  2. Step 2: Convert to fraction form
    29,970.24/44,956.64 = 9,194.56/x
  3. Step 3: Cross multiply
    29,970.24x = 44,956.64 × 9,194.56
  4. Step 4: Simplify right side
    29,970.24x = 413,356,523.88
  5. Step 5: Solve for x
    x = 413,356,523.88/29,970.24
  6. Step 6: Final answer
    x = 13,792.23

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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.