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Finding the Fourth Proportional to 82,217.60, 113,460 and 44,491.84

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Solution

The fourth proportional to 82,217.60, 113,460 and 44,491.84 is: 61,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.60 : 113,460 = 44,491.84 : x
  2. Step 2: Convert to fraction form
    82,217.60/113,460 = 44,491.84/x
  3. Step 3: Cross multiply
    82,217.60x = 113,460 × 44,491.84
  4. Step 4: Simplify right side
    82,217.60x = 5,048,044,166.40
  5. Step 5: Solve for x
    x = 5,048,044,166.40/82,217.60
  6. Step 6: Final answer
    x = 61,398.58

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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.