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Finding the Fourth Proportional to 35,984.94, 49,643.16 and 20,868.84

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Solution

The fourth proportional to 35,984.94, 49,643.16 and 20,868.84 is: 28,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.94 : 49,643.16 = 20,868.84 : x
  2. Step 2: Convert to fraction form
    35,984.94/49,643.16 = 20,868.84/x
  3. Step 3: Cross multiply
    35,984.94x = 49,643.16 × 20,868.84
  4. Step 4: Simplify right side
    35,984.94x = 1,035,995,334.47
  5. Step 5: Solve for x
    x = 1,035,995,334.47/35,984.94
  6. Step 6: Final answer
    x = 28,789.69

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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.