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Finding the Fourth Proportional to 34,334.96, 51,489.48 and 15,854

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Solution

The fourth proportional to 34,334.96, 51,489.48 and 15,854 is: 23,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334.96 : 51,489.48 = 15,854 : x
  2. Step 2: Convert to fraction form
    34,334.96/51,489.48 = 15,854/x
  3. Step 3: Cross multiply
    34,334.96x = 51,489.48 × 15,854
  4. Step 4: Simplify right side
    34,334.96x = 816,314,215.92
  5. Step 5: Solve for x
    x = 816,314,215.92/34,334.96
  6. Step 6: Final answer
    x = 23,775.02

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Why These Related Problems?

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