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Finding the Fourth Proportional to 34,065.92, 47,011.32 and 19,916

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Solution

The fourth proportional to 34,065.92, 47,011.32 and 19,916 is: 27,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065.92 : 47,011.32 = 19,916 : x
  2. Step 2: Convert to fraction form
    34,065.92/47,011.32 = 19,916/x
  3. Step 3: Cross multiply
    34,065.92x = 47,011.32 × 19,916
  4. Step 4: Simplify right side
    34,065.92x = 936,277,449.12
  5. Step 5: Solve for x
    x = 936,277,449.12/34,065.92
  6. Step 6: Final answer
    x = 27,484.28

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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.