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Finding the Fourth Proportional to 107,647.80, 161,419.86 and 37,525.56

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Solution

The fourth proportional to 107,647.80, 161,419.86 and 37,525.56 is: 56,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,647.80 : 161,419.86 = 37,525.56 : x
  2. Step 2: Convert to fraction form
    107,647.80/161,419.86 = 37,525.56/x
  3. Step 3: Cross multiply
    107,647.80x = 161,419.86 × 37,525.56
  4. Step 4: Simplify right side
    107,647.80x = 6,057,370,641.62
  5. Step 5: Solve for x
    x = 6,057,370,641.62/107,647.80
  6. Step 6: Final answer
    x = 56,270.27

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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.