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Finding the Fourth Proportional to 75,969.61, 113,954.50 and 19,809.67

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Solution

The fourth proportional to 75,969.61, 113,954.50 and 19,809.67 is: 29,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969.61 : 113,954.50 = 19,809.67 : x
  2. Step 2: Convert to fraction form
    75,969.61/113,954.50 = 19,809.67/x
  3. Step 3: Cross multiply
    75,969.61x = 113,954.50 × 19,809.67
  4. Step 4: Simplify right side
    75,969.61x = 2,257,401,040.02
  5. Step 5: Solve for x
    x = 2,257,401,040.02/75,969.61
  6. Step 6: Final answer
    x = 29,714.53

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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.