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Finding the Fourth Proportional to 34,633.92, 51,958.56 and 10,008

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Solution

The fourth proportional to 34,633.92, 51,958.56 and 10,008 is: 15,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633.92 : 51,958.56 = 10,008 : x
  2. Step 2: Convert to fraction form
    34,633.92/51,958.56 = 10,008/x
  3. Step 3: Cross multiply
    34,633.92x = 51,958.56 × 10,008
  4. Step 4: Simplify right side
    34,633.92x = 520,001,268.48
  5. Step 5: Solve for x
    x = 520,001,268.48/34,633.92
  6. Step 6: Final answer
    x = 15,014.22

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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.