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Finding the Fourth Proportional to 82,382.85, 113,688.03 and 44,657.10

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Solution

The fourth proportional to 82,382.85, 113,688.03 and 44,657.10 is: 61,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.85 : 113,688.03 = 44,657.10 : x
  2. Step 2: Convert to fraction form
    82,382.85/113,688.03 = 44,657.10/x
  3. Step 3: Cross multiply
    82,382.85x = 113,688.03 × 44,657.10
  4. Step 4: Simplify right side
    82,382.85x = 5,076,977,724.51
  5. Step 5: Solve for x
    x = 5,076,977,724.51/82,382.85
  6. Step 6: Final answer
    x = 61,626.63

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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.