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Finding the Fourth Proportional to 53,454.98, 73,766.70 and 29,255.82

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Solution

The fourth proportional to 53,454.98, 73,766.70 and 29,255.82 is: 40,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454.98 : 73,766.70 = 29,255.82 : x
  2. Step 2: Convert to fraction form
    53,454.98/73,766.70 = 29,255.82/x
  3. Step 3: Cross multiply
    53,454.98x = 73,766.70 × 29,255.82
  4. Step 4: Simplify right side
    53,454.98x = 2,158,105,297.19
  5. Step 5: Solve for x
    x = 2,158,105,297.19/53,454.98
  6. Step 6: Final answer
    x = 40,372.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.