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Finding the Fourth Proportional to 82,950.57, 114,471.64 and 47,140.60

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Solution

The fourth proportional to 82,950.57, 114,471.64 and 47,140.60 is: 65,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950.57 : 114,471.64 = 47,140.60 : x
  2. Step 2: Convert to fraction form
    82,950.57/114,471.64 = 47,140.60/x
  3. Step 3: Cross multiply
    82,950.57x = 114,471.64 × 47,140.60
  4. Step 4: Simplify right side
    82,950.57x = 5,396,261,792.58
  5. Step 5: Solve for x
    x = 5,396,261,792.58/82,950.57
  6. Step 6: Final answer
    x = 65,053.95

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Why These Related Problems?

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