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Finding the Fourth Proportional to 82,764.45, 114,227.82 and 46,947.06

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Solution

The fourth proportional to 82,764.45, 114,227.82 and 46,947.06 is: 64,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764.45 : 114,227.82 = 46,947.06 : x
  2. Step 2: Convert to fraction form
    82,764.45/114,227.82 = 46,947.06/x
  3. Step 3: Cross multiply
    82,764.45x = 114,227.82 × 46,947.06
  4. Step 4: Simplify right side
    82,764.45x = 5,362,660,319.21
  5. Step 5: Solve for x
    x = 5,362,660,319.21/82,764.45
  6. Step 6: Final answer
    x = 64,794.25

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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.