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Finding the Fourth Proportional to 29,945.40, 44,914.41 and 10,225.92

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Solution

The fourth proportional to 29,945.40, 44,914.41 and 10,225.92 is: 15,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,945.40 : 44,914.41 = 10,225.92 : x
  2. Step 2: Convert to fraction form
    29,945.40/44,914.41 = 10,225.92/x
  3. Step 3: Cross multiply
    29,945.40x = 44,914.41 × 10,225.92
  4. Step 4: Simplify right side
    29,945.40x = 459,291,163.51
  5. Step 5: Solve for x
    x = 459,291,163.51/29,945.40
  6. Step 6: Final answer
    x = 15,337.62

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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.