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Finding the Fourth Proportional to 75,745.81, 113,638.14 and 23,155.14

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Solution

The fourth proportional to 75,745.81, 113,638.14 and 23,155.14 is: 34,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,745.81 : 113,638.14 = 23,155.14 : x
  2. Step 2: Convert to fraction form
    75,745.81/113,638.14 = 23,155.14/x
  3. Step 3: Cross multiply
    75,745.81x = 113,638.14 × 23,155.14
  4. Step 4: Simplify right side
    75,745.81x = 2,631,307,041.04
  5. Step 5: Solve for x
    x = 2,631,307,041.04/75,745.81
  6. Step 6: Final answer
    x = 34,738.65

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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.