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Finding the Fourth Proportional to 61,172.90, 91,798.32 and 27,896.28

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Solution

The fourth proportional to 61,172.90, 91,798.32 and 27,896.28 is: 41,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,172.90 : 91,798.32 = 27,896.28 : x
  2. Step 2: Convert to fraction form
    61,172.90/91,798.32 = 27,896.28/x
  3. Step 3: Cross multiply
    61,172.90x = 91,798.32 × 27,896.28
  4. Step 4: Simplify right side
    61,172.90x = 2,560,831,638.25
  5. Step 5: Solve for x
    x = 2,560,831,638.25/61,172.90
  6. Step 6: Final answer
    x = 41,862.19

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Why These Related Problems?

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