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Finding the Fourth Proportional to 35,501.44, 48,991.68 and 19,586

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Solution

The fourth proportional to 35,501.44, 48,991.68 and 19,586 is: 27,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,501.44 : 48,991.68 = 19,586 : x
  2. Step 2: Convert to fraction form
    35,501.44/48,991.68 = 19,586/x
  3. Step 3: Cross multiply
    35,501.44x = 48,991.68 × 19,586
  4. Step 4: Simplify right side
    35,501.44x = 959,551,044.48
  5. Step 5: Solve for x
    x = 959,551,044.48/35,501.44
  6. Step 6: Final answer
    x = 27,028.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.