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Finding the Fourth Proportional to 52,333, 72,218.04 and 29,674.16

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Solution

The fourth proportional to 52,333, 72,218.04 and 29,674.16 is: 40,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,333 : 72,218.04 = 29,674.16 : x
  2. Step 2: Convert to fraction form
    52,333/72,218.04 = 29,674.16/x
  3. Step 3: Cross multiply
    52,333x = 72,218.04 × 29,674.16
  4. Step 4: Simplify right side
    52,333x = 2,143,009,673.85
  5. Step 5: Solve for x
    x = 2,143,009,673.85/52,333
  6. Step 6: Final answer
    x = 40,949.49

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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.