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Finding the Fourth Proportional to 29,406.24, 44,109.56 and 7,219.80

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Solution

The fourth proportional to 29,406.24, 44,109.56 and 7,219.80 is: 10,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.24 : 44,109.56 = 7,219.80 : x
  2. Step 2: Convert to fraction form
    29,406.24/44,109.56 = 7,219.80/x
  3. Step 3: Cross multiply
    29,406.24x = 44,109.56 × 7,219.80
  4. Step 4: Simplify right side
    29,406.24x = 318,462,219.34
  5. Step 5: Solve for x
    x = 318,462,219.34/29,406.24
  6. Step 6: Final answer
    x = 10,829.75

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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.