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Finding the Fourth Proportional to 52,634.50, 72,635.61 and 30,278.50

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Solution

The fourth proportional to 52,634.50, 72,635.61 and 30,278.50 is: 41,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,634.50 : 72,635.61 = 30,278.50 : x
  2. Step 2: Convert to fraction form
    52,634.50/72,635.61 = 30,278.50/x
  3. Step 3: Cross multiply
    52,634.50x = 72,635.61 × 30,278.50
  4. Step 4: Simplify right side
    52,634.50x = 2,199,297,317.39
  5. Step 5: Solve for x
    x = 2,199,297,317.39/52,634.50
  6. Step 6: Final answer
    x = 41,784.33

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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.