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Finding the Fourth Proportional to 38,419.37, 57,629.06 and 10,339.49

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Solution

The fourth proportional to 38,419.37, 57,629.06 and 10,339.49 is: 15,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.37 : 57,629.06 = 10,339.49 : x
  2. Step 2: Convert to fraction form
    38,419.37/57,629.06 = 10,339.49/x
  3. Step 3: Cross multiply
    38,419.37x = 57,629.06 × 10,339.49
  4. Step 4: Simplify right side
    38,419.37x = 595,854,857.79
  5. Step 5: Solve for x
    x = 595,854,857.79/38,419.37
  6. Step 6: Final answer
    x = 15,509.23

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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.