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Finding the Fourth Proportional to 82,550.93, 113,916.83 and 46,742.90

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Solution

The fourth proportional to 82,550.93, 113,916.83 and 46,742.90 is: 64,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,550.93 : 113,916.83 = 46,742.90 : x
  2. Step 2: Convert to fraction form
    82,550.93/113,916.83 = 46,742.90/x
  3. Step 3: Cross multiply
    82,550.93x = 113,916.83 × 46,742.90
  4. Step 4: Simplify right side
    82,550.93x = 5,324,802,189.71
  5. Step 5: Solve for x
    x = 5,324,802,189.71/82,550.93
  6. Step 6: Final answer
    x = 64,503.24

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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.