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Finding the Fourth Proportional to 75,522.72, 104,224.32 and 41,988

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Solution

The fourth proportional to 75,522.72, 104,224.32 and 41,988 is: 57,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,522.72 : 104,224.32 = 41,988 : x
  2. Step 2: Convert to fraction form
    75,522.72/104,224.32 = 41,988/x
  3. Step 3: Cross multiply
    75,522.72x = 104,224.32 × 41,988
  4. Step 4: Simplify right side
    75,522.72x = 4,376,170,748.16
  5. Step 5: Solve for x
    x = 4,376,170,748.16/75,522.72
  6. Step 6: Final answer
    x = 57,945.09

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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.