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Finding the Fourth Proportional to 34,109.80, 51,164.69 and 10,416.39

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Solution

The fourth proportional to 34,109.80, 51,164.69 and 10,416.39 is: 15,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109.80 : 51,164.69 = 10,416.39 : x
  2. Step 2: Convert to fraction form
    34,109.80/51,164.69 = 10,416.39/x
  3. Step 3: Cross multiply
    34,109.80x = 51,164.69 × 10,416.39
  4. Step 4: Simplify right side
    34,109.80x = 532,951,365.27
  5. Step 5: Solve for x
    x = 532,951,365.27/34,109.80
  6. Step 6: Final answer
    x = 15,624.58

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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.