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Finding the Fourth Proportional to 107,645.86, 161,503.37 and 32,780.50

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Solution

The fourth proportional to 107,645.86, 161,503.37 and 32,780.50 is: 49,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,645.86 : 161,503.37 = 32,780.50 : x
  2. Step 2: Convert to fraction form
    107,645.86/161,503.37 = 32,780.50/x
  3. Step 3: Cross multiply
    107,645.86x = 161,503.37 × 32,780.50
  4. Step 4: Simplify right side
    107,645.86x = 5,294,160,775.55
  5. Step 5: Solve for x
    x = 5,294,160,775.55/107,645.86
  6. Step 6: Final answer
    x = 49,181.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.