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Finding the Fourth Proportional to 38,419.56, 57,629.34 and 10,339.67

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Solution

The fourth proportional to 38,419.56, 57,629.34 and 10,339.67 is: 15,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.56 : 57,629.34 = 10,339.67 : x
  2. Step 2: Convert to fraction form
    38,419.56/57,629.34 = 10,339.67/x
  3. Step 3: Cross multiply
    38,419.56x = 57,629.34 × 10,339.67
  4. Step 4: Simplify right side
    38,419.56x = 595,868,463.22
  5. Step 5: Solve for x
    x = 595,868,463.22/38,419.56
  6. Step 6: Final answer
    x = 15,509.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.