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Finding the Fourth Proportional to 75,806.13, 113,669 and 23,201.49

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Solution

The fourth proportional to 75,806.13, 113,669 and 23,201.49 is: 34,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,806.13 : 113,669 = 23,201.49 : x
  2. Step 2: Convert to fraction form
    75,806.13/113,669 = 23,201.49/x
  3. Step 3: Cross multiply
    75,806.13x = 113,669 × 23,201.49
  4. Step 4: Simplify right side
    75,806.13x = 2,637,290,166.81
  5. Step 5: Solve for x
    x = 2,637,290,166.81/75,806.13
  6. Step 6: Final answer
    x = 34,789.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.