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Finding the Fourth Proportional to 82,571.74, 113,949.03 and 46,761.76

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Solution

The fourth proportional to 82,571.74, 113,949.03 and 46,761.76 is: 64,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571.74 : 113,949.03 = 46,761.76 : x
  2. Step 2: Convert to fraction form
    82,571.74/113,949.03 = 46,761.76/x
  3. Step 3: Cross multiply
    82,571.74x = 113,949.03 × 46,761.76
  4. Step 4: Simplify right side
    82,571.74x = 5,328,457,193.09
  5. Step 5: Solve for x
    x = 5,328,457,193.09/82,571.74
  6. Step 6: Final answer
    x = 64,531.25

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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.