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Finding the Fourth Proportional to 82,220.90, 113,462.44 and 46,414.24

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Solution

The fourth proportional to 82,220.90, 113,462.44 and 46,414.24 is: 64,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220.90 : 113,462.44 = 46,414.24 : x
  2. Step 2: Convert to fraction form
    82,220.90/113,462.44 = 46,414.24/x
  3. Step 3: Cross multiply
    82,220.90x = 113,462.44 × 46,414.24
  4. Step 4: Simplify right side
    82,220.90x = 5,266,272,521.45
  5. Step 5: Solve for x
    x = 5,266,272,521.45/82,220.90
  6. Step 6: Final answer
    x = 64,050.29

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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.