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Finding the Fourth Proportional to 34,560.96, 51,828.48 and 16,080

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Solution

The fourth proportional to 34,560.96, 51,828.48 and 16,080 is: 24,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560.96 : 51,828.48 = 16,080 : x
  2. Step 2: Convert to fraction form
    34,560.96/51,828.48 = 16,080/x
  3. Step 3: Cross multiply
    34,560.96x = 51,828.48 × 16,080
  4. Step 4: Simplify right side
    34,560.96x = 833,401,958.40
  5. Step 5: Solve for x
    x = 833,401,958.40/34,560.96
  6. Step 6: Final answer
    x = 24,113.97

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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.