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Finding the Fourth Proportional to 38,709.38, 58,064.16 and 10,629.82

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Solution

The fourth proportional to 38,709.38, 58,064.16 and 10,629.82 is: 15,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.38 : 58,064.16 = 10,629.82 : x
  2. Step 2: Convert to fraction form
    38,709.38/58,064.16 = 10,629.82/x
  3. Step 3: Cross multiply
    38,709.38x = 58,064.16 × 10,629.82
  4. Step 4: Simplify right side
    38,709.38x = 617,211,569.25
  5. Step 5: Solve for x
    x = 617,211,569.25/38,709.38
  6. Step 6: Final answer
    x = 15,944.75

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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.