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Finding the Fourth Proportional to 29,559.69, 44,301.03 and 12,009

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Solution

The fourth proportional to 29,559.69, 44,301.03 and 12,009 is: 17,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,559.69 : 44,301.03 = 12,009 : x
  2. Step 2: Convert to fraction form
    29,559.69/44,301.03 = 12,009/x
  3. Step 3: Cross multiply
    29,559.69x = 44,301.03 × 12,009
  4. Step 4: Simplify right side
    29,559.69x = 532,011,069.27
  5. Step 5: Solve for x
    x = 532,011,069.27/29,559.69
  6. Step 6: Final answer
    x = 17,997.86

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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.