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Finding the Fourth Proportional to 34,614, 47,768.40 and 19,710

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Solution

The fourth proportional to 34,614, 47,768.40 and 19,710 is: 27,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 47,768.40 = 19,710 : x
  2. Step 2: Convert to fraction form
    34,614/47,768.40 = 19,710/x
  3. Step 3: Cross multiply
    34,614x = 47,768.40 × 19,710
  4. Step 4: Simplify right side
    34,614x = 941,515,164
  5. Step 5: Solve for x
    x = 941,515,164/34,614
  6. Step 6: Final answer
    x = 27,200.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.