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Finding the Fourth Proportional to 82,949, 114,472.50 and 47,140.52

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Solution

The fourth proportional to 82,949, 114,472.50 and 47,140.52 is: 65,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,949 : 114,472.50 = 47,140.52 : x
  2. Step 2: Convert to fraction form
    82,949/114,472.50 = 47,140.52/x
  3. Step 3: Cross multiply
    82,949x = 114,472.50 × 47,140.52
  4. Step 4: Simplify right side
    82,949x = 5,396,293,175.70
  5. Step 5: Solve for x
    x = 5,396,293,175.70/82,949
  6. Step 6: Final answer
    x = 65,055.55

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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.