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Finding the Fourth Proportional to 74,381.63, 111,573.05 and 27,634.50

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Solution

The fourth proportional to 74,381.63, 111,573.05 and 27,634.50 is: 41,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.63 : 111,573.05 = 27,634.50 : x
  2. Step 2: Convert to fraction form
    74,381.63/111,573.05 = 27,634.50/x
  3. Step 3: Cross multiply
    74,381.63x = 111,573.05 × 27,634.50
  4. Step 4: Simplify right side
    74,381.63x = 3,083,265,312.05
  5. Step 5: Solve for x
    x = 3,083,265,312.05/74,381.63
  6. Step 6: Final answer
    x = 41,451.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.