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Finding the Fourth Proportional to 62,113.14, 85,716.33 and 33,819

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Solution

The fourth proportional to 62,113.14, 85,716.33 and 33,819 is: 46,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,113.14 : 85,716.33 = 33,819 : x
  2. Step 2: Convert to fraction form
    62,113.14/85,716.33 = 33,819/x
  3. Step 3: Cross multiply
    62,113.14x = 85,716.33 × 33,819
  4. Step 4: Simplify right side
    62,113.14x = 2,898,840,564.27
  5. Step 5: Solve for x
    x = 2,898,840,564.27/62,113.14
  6. Step 6: Final answer
    x = 46,670.33

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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.