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Finding the Fourth Proportional to 34,776, 47,993.36 and 19,668.80

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Solution

The fourth proportional to 34,776, 47,993.36 and 19,668.80 is: 27,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776 : 47,993.36 = 19,668.80 : x
  2. Step 2: Convert to fraction form
    34,776/47,993.36 = 19,668.80/x
  3. Step 3: Cross multiply
    34,776x = 47,993.36 × 19,668.80
  4. Step 4: Simplify right side
    34,776x = 943,971,799.17
  5. Step 5: Solve for x
    x = 943,971,799.17/34,776
  6. Step 6: Final answer
    x = 27,144.35

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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.