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Finding the Fourth Proportional to 82,378.76, 113,682.56 and 44,653.02

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Solution

The fourth proportional to 82,378.76, 113,682.56 and 44,653.02 is: 61,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.76 : 113,682.56 = 44,653.02 : x
  2. Step 2: Convert to fraction form
    82,378.76/113,682.56 = 44,653.02/x
  3. Step 3: Cross multiply
    82,378.76x = 113,682.56 × 44,653.02
  4. Step 4: Simplify right side
    82,378.76x = 5,076,269,625.33
  5. Step 5: Solve for x
    x = 5,076,269,625.33/82,378.76
  6. Step 6: Final answer
    x = 61,621.10

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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.