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Finding the Fourth Proportional to 82,938.75, 114,455.51 and 47,128.80

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Solution

The fourth proportional to 82,938.75, 114,455.51 and 47,128.80 is: 65,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938.75 : 114,455.51 = 47,128.80 : x
  2. Step 2: Convert to fraction form
    82,938.75/114,455.51 = 47,128.80/x
  3. Step 3: Cross multiply
    82,938.75x = 114,455.51 × 47,128.80
  4. Step 4: Simplify right side
    82,938.75x = 5,394,150,839.69
  5. Step 5: Solve for x
    x = 5,394,150,839.69/82,938.75
  6. Step 6: Final answer
    x = 65,037.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.