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Finding the Fourth Proportional to 78,736.86, 117,971.64 and 47,506.50

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Solution

The fourth proportional to 78,736.86, 117,971.64 and 47,506.50 is: 71,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,736.86 : 117,971.64 = 47,506.50 : x
  2. Step 2: Convert to fraction form
    78,736.86/117,971.64 = 47,506.50/x
  3. Step 3: Cross multiply
    78,736.86x = 117,971.64 × 47,506.50
  4. Step 4: Simplify right side
    78,736.86x = 5,604,419,715.66
  5. Step 5: Solve for x
    x = 5,604,419,715.66/78,736.86
  6. Step 6: Final answer
    x = 71,179.11

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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.