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Finding the Fourth Proportional to 82,868.90, 114,362.37 and 47,062.22

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Solution

The fourth proportional to 82,868.90, 114,362.37 and 47,062.22 is: 64,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,868.90 : 114,362.37 = 47,062.22 : x
  2. Step 2: Convert to fraction form
    82,868.90/114,362.37 = 47,062.22/x
  3. Step 3: Cross multiply
    82,868.90x = 114,362.37 × 47,062.22
  4. Step 4: Simplify right side
    82,868.90x = 5,382,146,444.85
  5. Step 5: Solve for x
    x = 5,382,146,444.85/82,868.90
  6. Step 6: Final answer
    x = 64,947.73

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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.