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Finding the Fourth Proportional to 29,824.94, 44,742.90 and 9,835.62

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Solution

The fourth proportional to 29,824.94, 44,742.90 and 9,835.62 is: 14,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.94 : 44,742.90 = 9,835.62 : x
  2. Step 2: Convert to fraction form
    29,824.94/44,742.90 = 9,835.62/x
  3. Step 3: Cross multiply
    29,824.94x = 44,742.90 × 9,835.62
  4. Step 4: Simplify right side
    29,824.94x = 440,074,162.10
  5. Step 5: Solve for x
    x = 440,074,162.10/29,824.94
  6. Step 6: Final answer
    x = 14,755.24

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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.