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Finding the Fourth Proportional to 82,843.16, 114,319.50 and 47,028.38

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Solution

The fourth proportional to 82,843.16, 114,319.50 and 47,028.38 is: 64,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,843.16 : 114,319.50 = 47,028.38 : x
  2. Step 2: Convert to fraction form
    82,843.16/114,319.50 = 47,028.38/x
  3. Step 3: Cross multiply
    82,843.16x = 114,319.50 × 47,028.38
  4. Step 4: Simplify right side
    82,843.16x = 5,376,260,887.41
  5. Step 5: Solve for x
    x = 5,376,260,887.41/82,843.16
  6. Step 6: Final answer
    x = 64,896.86

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1.5x scale

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.