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Finding the Fourth Proportional to 35,758.24, 49,352.24 and 19,847.80

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Solution

The fourth proportional to 35,758.24, 49,352.24 and 19,847.80 is: 27,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.24 : 49,352.24 = 19,847.80 : x
  2. Step 2: Convert to fraction form
    35,758.24/49,352.24 = 19,847.80/x
  3. Step 3: Cross multiply
    35,758.24x = 49,352.24 × 19,847.80
  4. Step 4: Simplify right side
    35,758.24x = 979,533,389.07
  5. Step 5: Solve for x
    x = 979,533,389.07/35,758.24
  6. Step 6: Final answer
    x = 27,393.22

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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.