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Finding the Fourth Proportional to 27,968.40, 41,938.20 and 10,429.20

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Solution

The fourth proportional to 27,968.40, 41,938.20 and 10,429.20 is: 15,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.40 : 41,938.20 = 10,429.20 : x
  2. Step 2: Convert to fraction form
    27,968.40/41,938.20 = 10,429.20/x
  3. Step 3: Cross multiply
    27,968.40x = 41,938.20 × 10,429.20
  4. Step 4: Simplify right side
    27,968.40x = 437,381,875.44
  5. Step 5: Solve for x
    x = 437,381,875.44/27,968.40
  6. Step 6: Final answer
    x = 15,638.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.