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Finding the Fourth Proportional to 107,930.94, 161,884.80 and 29,053.14

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Solution

The fourth proportional to 107,930.94, 161,884.80 and 29,053.14 is: 43,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930.94 : 161,884.80 = 29,053.14 : x
  2. Step 2: Convert to fraction form
    107,930.94/161,884.80 = 29,053.14/x
  3. Step 3: Cross multiply
    107,930.94x = 161,884.80 × 29,053.14
  4. Step 4: Simplify right side
    107,930.94x = 4,703,261,758.27
  5. Step 5: Solve for x
    x = 4,703,261,758.27/107,930.94
  6. Step 6: Final answer
    x = 43,576.58

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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.