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Finding the Fourth Proportional to 37,784.73, 52,142.08 and 21,868.86

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Solution

The fourth proportional to 37,784.73, 52,142.08 and 21,868.86 is: 30,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,784.73 : 52,142.08 = 21,868.86 : x
  2. Step 2: Convert to fraction form
    37,784.73/52,142.08 = 21,868.86/x
  3. Step 3: Cross multiply
    37,784.73x = 52,142.08 × 21,868.86
  4. Step 4: Simplify right side
    37,784.73x = 1,140,287,847.63
  5. Step 5: Solve for x
    x = 1,140,287,847.63/37,784.73
  6. Step 6: Final answer
    x = 30,178.54

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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.