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Finding the Fourth Proportional to 52,333, 72,226.08 and 29,977

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Solution

The fourth proportional to 52,333, 72,226.08 and 29,977 is: 41,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,333 : 72,226.08 = 29,977 : x
  2. Step 2: Convert to fraction form
    52,333/72,226.08 = 29,977/x
  3. Step 3: Cross multiply
    52,333x = 72,226.08 × 29,977
  4. Step 4: Simplify right side
    52,333x = 2,165,121,200.16
  5. Step 5: Solve for x
    x = 2,165,121,200.16/52,333
  6. Step 6: Final answer
    x = 41,372.01

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Why These Related Problems?

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