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Finding the Fourth Proportional to 35,706.38, 49,274.80 and 19,793.23

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Solution

The fourth proportional to 35,706.38, 49,274.80 and 19,793.23 is: 27,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.38 : 49,274.80 = 19,793.23 : x
  2. Step 2: Convert to fraction form
    35,706.38/49,274.80 = 19,793.23/x
  3. Step 3: Cross multiply
    35,706.38x = 49,274.80 × 19,793.23
  4. Step 4: Simplify right side
    35,706.38x = 975,307,276.93
  5. Step 5: Solve for x
    x = 975,307,276.93/35,706.38
  6. Step 6: Final answer
    x = 27,314.65

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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.