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Finding the Fourth Proportional to 35,664.36, 49,212 and 19,748.40

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Solution

The fourth proportional to 35,664.36, 49,212 and 19,748.40 is: 27,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,664.36 : 49,212 = 19,748.40 : x
  2. Step 2: Convert to fraction form
    35,664.36/49,212 = 19,748.40/x
  3. Step 3: Cross multiply
    35,664.36x = 49,212 × 19,748.40
  4. Step 4: Simplify right side
    35,664.36x = 971,858,260.80
  5. Step 5: Solve for x
    x = 971,858,260.80/35,664.36
  6. Step 6: Final answer
    x = 27,250.12

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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.