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Finding the Fourth Proportional to 78,421.49, 117,566.11 and 34,014.81

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Solution

The fourth proportional to 78,421.49, 117,566.11 and 34,014.81 is: 50,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.49 : 117,566.11 = 34,014.81 : x
  2. Step 2: Convert to fraction form
    78,421.49/117,566.11 = 34,014.81/x
  3. Step 3: Cross multiply
    78,421.49x = 117,566.11 × 34,014.81
  4. Step 4: Simplify right side
    78,421.49x = 3,998,988,951.16
  5. Step 5: Solve for x
    x = 3,998,988,951.16/78,421.49
  6. Step 6: Final answer
    x = 50,993.53

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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.