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Finding the Fourth Proportional to 35,709.75, 49,279.50 and 19,796.58

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Solution

The fourth proportional to 35,709.75, 49,279.50 and 19,796.58 is: 27,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.75 : 49,279.50 = 19,796.58 : x
  2. Step 2: Convert to fraction form
    35,709.75/49,279.50 = 19,796.58/x
  3. Step 3: Cross multiply
    35,709.75x = 49,279.50 × 19,796.58
  4. Step 4: Simplify right side
    35,709.75x = 975,565,564.11
  5. Step 5: Solve for x
    x = 975,565,564.11/35,709.75
  6. Step 6: Final answer
    x = 27,319.31

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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.