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Finding the Fourth Proportional to 35,843.16, 49,461.25 and 19,927.20

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Solution

The fourth proportional to 35,843.16, 49,461.25 and 19,927.20 is: 27,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.16 : 49,461.25 = 19,927.20 : x
  2. Step 2: Convert to fraction form
    35,843.16/49,461.25 = 19,927.20/x
  3. Step 3: Cross multiply
    35,843.16x = 49,461.25 × 19,927.20
  4. Step 4: Simplify right side
    35,843.16x = 985,624,221
  5. Step 5: Solve for x
    x = 985,624,221/35,843.16
  6. Step 6: Final answer
    x = 27,498.25

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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.