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Finding the Fourth Proportional to 74,586.72, 111,899.70 and 27,840

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Solution

The fourth proportional to 74,586.72, 111,899.70 and 27,840 is: 41,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,586.72 : 111,899.70 = 27,840 : x
  2. Step 2: Convert to fraction form
    74,586.72/111,899.70 = 27,840/x
  3. Step 3: Cross multiply
    74,586.72x = 111,899.70 × 27,840
  4. Step 4: Simplify right side
    74,586.72x = 3,115,287,648
  5. Step 5: Solve for x
    x = 3,115,287,648/74,586.72
  6. Step 6: Final answer
    x = 41,767.32

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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.