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Finding the Fourth Proportional to 35,706.25, 49,274.63 and 19,793.10

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Solution

The fourth proportional to 35,706.25, 49,274.63 and 19,793.10 is: 27,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.25 : 49,274.63 = 19,793.10 : x
  2. Step 2: Convert to fraction form
    35,706.25/49,274.63 = 19,793.10/x
  3. Step 3: Cross multiply
    35,706.25x = 49,274.63 × 19,793.10
  4. Step 4: Simplify right side
    35,706.25x = 975,297,679.05
  5. Step 5: Solve for x
    x = 975,297,679.05/35,706.25
  6. Step 6: Final answer
    x = 27,314.48

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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.