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Finding the Fourth Proportional to 77,205.98, 115,842.26 and 29,854.41

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Solution

The fourth proportional to 77,205.98, 115,842.26 and 29,854.41 is: 44,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,205.98 : 115,842.26 = 29,854.41 : x
  2. Step 2: Convert to fraction form
    77,205.98/115,842.26 = 29,854.41/x
  3. Step 3: Cross multiply
    77,205.98x = 115,842.26 × 29,854.41
  4. Step 4: Simplify right side
    77,205.98x = 3,458,402,797.09
  5. Step 5: Solve for x
    x = 3,458,402,797.09/77,205.98
  6. Step 6: Final answer
    x = 44,794.49

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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.