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Finding the Fourth Proportional to 82,262.35, 113,521.13 and 46,451.44

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Solution

The fourth proportional to 82,262.35, 113,521.13 and 46,451.44 is: 64,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.35 : 113,521.13 = 46,451.44 : x
  2. Step 2: Convert to fraction form
    82,262.35/113,521.13 = 46,451.44/x
  3. Step 3: Cross multiply
    82,262.35x = 113,521.13 × 46,451.44
  4. Step 4: Simplify right side
    82,262.35x = 5,273,220,042.76
  5. Step 5: Solve for x
    x = 5,273,220,042.76/82,262.35
  6. Step 6: Final answer
    x = 64,102.47

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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.