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Finding the Fourth Proportional to 78,723.99, 118,081.12 and 31,975.65

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Solution

The fourth proportional to 78,723.99, 118,081.12 and 31,975.65 is: 47,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,723.99 : 118,081.12 = 31,975.65 : x
  2. Step 2: Convert to fraction form
    78,723.99/118,081.12 = 31,975.65/x
  3. Step 3: Cross multiply
    78,723.99x = 118,081.12 × 31,975.65
  4. Step 4: Simplify right side
    78,723.99x = 3,775,720,564.73
  5. Step 5: Solve for x
    x = 3,775,720,564.73/78,723.99
  6. Step 6: Final answer
    x = 47,961.50

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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.