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Finding the Fourth Proportional to 38,434.69, 57,658.09 and 10,355.84

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Solution

The fourth proportional to 38,434.69, 57,658.09 and 10,355.84 is: 15,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.69 : 57,658.09 = 10,355.84 : x
  2. Step 2: Convert to fraction form
    38,434.69/57,658.09 = 10,355.84/x
  3. Step 3: Cross multiply
    38,434.69x = 57,658.09 × 10,355.84
  4. Step 4: Simplify right side
    38,434.69x = 597,097,954.75
  5. Step 5: Solve for x
    x = 597,097,954.75/38,434.69
  6. Step 6: Final answer
    x = 15,535.39

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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.