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Finding the Fourth Proportional to 34,706.50, 47,891.31 and 19,598.23

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Solution

The fourth proportional to 34,706.50, 47,891.31 and 19,598.23 is: 27,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.50 : 47,891.31 = 19,598.23 : x
  2. Step 2: Convert to fraction form
    34,706.50/47,891.31 = 19,598.23/x
  3. Step 3: Cross multiply
    34,706.50x = 47,891.31 × 19,598.23
  4. Step 4: Simplify right side
    34,706.50x = 938,584,908.38
  5. Step 5: Solve for x
    x = 938,584,908.38/34,706.50
  6. Step 6: Final answer
    x = 27,043.49

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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.