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Finding the Fourth Proportional to 50,847.49, 70,127.94 and 35,790

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Solution

The fourth proportional to 50,847.49, 70,127.94 and 35,790 is: 49,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,847.49 : 70,127.94 = 35,790 : x
  2. Step 2: Convert to fraction form
    50,847.49/70,127.94 = 35,790/x
  3. Step 3: Cross multiply
    50,847.49x = 70,127.94 × 35,790
  4. Step 4: Simplify right side
    50,847.49x = 2,509,878,972.60
  5. Step 5: Solve for x
    x = 2,509,878,972.60/50,847.49
  6. Step 6: Final answer
    x = 49,360.92

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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.