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Finding the Fourth Proportional to 38,149.84, 57,223.68 and 10,447.84

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Solution

The fourth proportional to 38,149.84, 57,223.68 and 10,447.84 is: 15,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.84 : 57,223.68 = 10,447.84 : x
  2. Step 2: Convert to fraction form
    38,149.84/57,223.68 = 10,447.84/x
  3. Step 3: Cross multiply
    38,149.84x = 57,223.68 × 10,447.84
  4. Step 4: Simplify right side
    38,149.84x = 597,863,852.85
  5. Step 5: Solve for x
    x = 597,863,852.85/38,149.84
  6. Step 6: Final answer
    x = 15,671.46

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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.