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Finding the Fourth Proportional to 78,421.69, 117,566.39 and 34,014.99

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Solution

The fourth proportional to 78,421.69, 117,566.39 and 34,014.99 is: 50,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.69 : 117,566.39 = 34,014.99 : x
  2. Step 2: Convert to fraction form
    78,421.69/117,566.39 = 34,014.99/x
  3. Step 3: Cross multiply
    78,421.69x = 117,566.39 × 34,014.99
  4. Step 4: Simplify right side
    78,421.69x = 3,999,019,580.19
  5. Step 5: Solve for x
    x = 3,999,019,580.19/78,421.69
  6. Step 6: Final answer
    x = 50,993.79

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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.