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Finding the Fourth Proportional to 107,422.64, 161,091.63 and 39,018

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Solution

The fourth proportional to 107,422.64, 161,091.63 and 39,018 is: 58,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,422.64 : 161,091.63 = 39,018 : x
  2. Step 2: Convert to fraction form
    107,422.64/161,091.63 = 39,018/x
  3. Step 3: Cross multiply
    107,422.64x = 161,091.63 × 39,018
  4. Step 4: Simplify right side
    107,422.64x = 6,285,473,219.34
  5. Step 5: Solve for x
    x = 6,285,473,219.34/107,422.64
  6. Step 6: Final answer
    x = 58,511.63

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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.