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Finding the Fourth Proportional to 35,847.94, 49,474.77 and 21,701.02

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Solution

The fourth proportional to 35,847.94, 49,474.77 and 21,701.02 is: 29,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.94 : 49,474.77 = 21,701.02 : x
  2. Step 2: Convert to fraction form
    35,847.94/49,474.77 = 21,701.02/x
  3. Step 3: Cross multiply
    35,847.94x = 49,474.77 × 21,701.02
  4. Step 4: Simplify right side
    35,847.94x = 1,073,652,973.27
  5. Step 5: Solve for x
    x = 1,073,652,973.27/35,847.94
  6. Step 6: Final answer
    x = 29,950.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.