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Finding the Fourth Proportional to 35,696.25, 49,261.11 and 19,780.97

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Solution

The fourth proportional to 35,696.25, 49,261.11 and 19,780.97 is: 27,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.25 : 49,261.11 = 19,780.97 : x
  2. Step 2: Convert to fraction form
    35,696.25/49,261.11 = 19,780.97/x
  3. Step 3: Cross multiply
    35,696.25x = 49,261.11 × 19,780.97
  4. Step 4: Simplify right side
    35,696.25x = 974,432,292.77
  5. Step 5: Solve for x
    x = 974,432,292.77/35,696.25
  6. Step 6: Final answer
    x = 27,297.89

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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.