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Finding the Fourth Proportional to 82,135.14, 113,346.53 and 44,409.39

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Solution

The fourth proportional to 82,135.14, 113,346.53 and 44,409.39 is: 61,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.14 : 113,346.53 = 44,409.39 : x
  2. Step 2: Convert to fraction form
    82,135.14/113,346.53 = 44,409.39/x
  3. Step 3: Cross multiply
    82,135.14x = 113,346.53 × 44,409.39
  4. Step 4: Simplify right side
    82,135.14x = 5,033,650,255.92
  5. Step 5: Solve for x
    x = 5,033,650,255.92/82,135.14
  6. Step 6: Final answer
    x = 61,284.98

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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.