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Finding the Fourth Proportional to 82,311.48, 113,589 and 46,501.44

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Solution

The fourth proportional to 82,311.48, 113,589 and 46,501.44 is: 64,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.48 : 113,589 = 46,501.44 : x
  2. Step 2: Convert to fraction form
    82,311.48/113,589 = 46,501.44/x
  3. Step 3: Cross multiply
    82,311.48x = 113,589 × 46,501.44
  4. Step 4: Simplify right side
    82,311.48x = 5,282,052,068.16
  5. Step 5: Solve for x
    x = 5,282,052,068.16/82,311.48
  6. Step 6: Final answer
    x = 64,171.51

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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.