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Finding the Fourth Proportional to 34,343.96, 51,523.32 and 10,651

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Solution

The fourth proportional to 34,343.96, 51,523.32 and 10,651 is: 15,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,343.96 : 51,523.32 = 10,651 : x
  2. Step 2: Convert to fraction form
    34,343.96/51,523.32 = 10,651/x
  3. Step 3: Cross multiply
    34,343.96x = 51,523.32 × 10,651
  4. Step 4: Simplify right side
    34,343.96x = 548,774,881.32
  5. Step 5: Solve for x
    x = 548,774,881.32/34,343.96
  6. Step 6: Final answer
    x = 15,978.79

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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.