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Finding the Fourth Proportional to 108,257.56, 162,386.42 and 29,371.78

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Solution

The fourth proportional to 108,257.56, 162,386.42 and 29,371.78 is: 44,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,257.56 : 162,386.42 = 29,371.78 : x
  2. Step 2: Convert to fraction form
    108,257.56/162,386.42 = 29,371.78/x
  3. Step 3: Cross multiply
    108,257.56x = 162,386.42 × 29,371.78
  4. Step 4: Simplify right side
    108,257.56x = 4,769,578,056.37
  5. Step 5: Solve for x
    x = 4,769,578,056.37/108,257.56
  6. Step 6: Final answer
    x = 44,057.69

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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.