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Finding the Fourth Proportional to 34,542, 47,668.50 and 21,983.76

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Solution

The fourth proportional to 34,542, 47,668.50 and 21,983.76 is: 30,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542 : 47,668.50 = 21,983.76 : x
  2. Step 2: Convert to fraction form
    34,542/47,668.50 = 21,983.76/x
  3. Step 3: Cross multiply
    34,542x = 47,668.50 × 21,983.76
  4. Step 4: Simplify right side
    34,542x = 1,047,932,863.56
  5. Step 5: Solve for x
    x = 1,047,932,863.56/34,542
  6. Step 6: Final answer
    x = 30,337.93

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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.