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Finding the Fourth Proportional to 78,922.54, 118,305.88 and 31,509.07

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Solution

The fourth proportional to 78,922.54, 118,305.88 and 31,509.07 is: 47,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,922.54 : 118,305.88 = 31,509.07 : x
  2. Step 2: Convert to fraction form
    78,922.54/118,305.88 = 31,509.07/x
  3. Step 3: Cross multiply
    78,922.54x = 118,305.88 × 31,509.07
  4. Step 4: Simplify right side
    78,922.54x = 3,727,707,879.79
  5. Step 5: Solve for x
    x = 3,727,707,879.79/78,922.54
  6. Step 6: Final answer
    x = 47,232.49

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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.