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Finding the Fourth Proportional to 107,978.46, 161,968.77 and 37,859.46

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Solution

The fourth proportional to 107,978.46, 161,968.77 and 37,859.46 is: 56,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,978.46 : 161,968.77 = 37,859.46 : x
  2. Step 2: Convert to fraction form
    107,978.46/161,968.77 = 37,859.46/x
  3. Step 3: Cross multiply
    107,978.46x = 161,968.77 × 37,859.46
  4. Step 4: Simplify right side
    107,978.46x = 6,132,050,169.06
  5. Step 5: Solve for x
    x = 6,132,050,169.06/107,978.46
  6. Step 6: Final answer
    x = 56,789.57

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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.