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Finding the Fourth Proportional to 29,291.30, 43,905.93 and 9,564.56

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Solution

The fourth proportional to 29,291.30, 43,905.93 and 9,564.56 is: 14,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291.30 : 43,905.93 = 9,564.56 : x
  2. Step 2: Convert to fraction form
    29,291.30/43,905.93 = 9,564.56/x
  3. Step 3: Cross multiply
    29,291.30x = 43,905.93 × 9,564.56
  4. Step 4: Simplify right side
    29,291.30x = 419,940,901.84
  5. Step 5: Solve for x
    x = 419,940,901.84/29,291.30
  6. Step 6: Final answer
    x = 14,336.71

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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.