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Finding the Fourth Proportional to 82,223.76, 113,469.13 and 46,414.20

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Solution

The fourth proportional to 82,223.76, 113,469.13 and 46,414.20 is: 64,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.76 : 113,469.13 = 46,414.20 : x
  2. Step 2: Convert to fraction form
    82,223.76/113,469.13 = 46,414.20/x
  3. Step 3: Cross multiply
    82,223.76x = 113,469.13 × 46,414.20
  4. Step 4: Simplify right side
    82,223.76x = 5,266,578,893.65
  5. Step 5: Solve for x
    x = 5,266,578,893.65/82,223.76
  6. Step 6: Final answer
    x = 64,051.79

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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.