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Finding the Fourth Proportional to 107,365, 161,076.06 and 37,244.20

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Solution

The fourth proportional to 107,365, 161,076.06 and 37,244.20 is: 55,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,365 : 161,076.06 = 37,244.20 : x
  2. Step 2: Convert to fraction form
    107,365/161,076.06 = 37,244.20/x
  3. Step 3: Cross multiply
    107,365x = 161,076.06 × 37,244.20
  4. Step 4: Simplify right side
    107,365x = 5,999,148,993.85
  5. Step 5: Solve for x
    x = 5,999,148,993.85/107,365
  6. Step 6: Final answer
    x = 55,876.21

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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.