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Finding the Fourth Proportional to 52,333, 72,219.54 and 29,978.44

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Solution

The fourth proportional to 52,333, 72,219.54 and 29,978.44 is: 41,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,333 : 72,219.54 = 29,978.44 : x
  2. Step 2: Convert to fraction form
    52,333/72,219.54 = 29,978.44/x
  3. Step 3: Cross multiply
    52,333x = 72,219.54 × 29,978.44
  4. Step 4: Simplify right side
    52,333x = 2,165,029,146.72
  5. Step 5: Solve for x
    x = 2,165,029,146.72/52,333
  6. Step 6: Final answer
    x = 41,370.25

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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.