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Finding the Fourth Proportional to 34,007.76, 46,917.26 and 19,664.96

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Solution

The fourth proportional to 34,007.76, 46,917.26 and 19,664.96 is: 27,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.76 : 46,917.26 = 19,664.96 : x
  2. Step 2: Convert to fraction form
    34,007.76/46,917.26 = 19,664.96/x
  3. Step 3: Cross multiply
    34,007.76x = 46,917.26 × 19,664.96
  4. Step 4: Simplify right side
    34,007.76x = 922,626,041.21
  5. Step 5: Solve for x
    x = 922,626,041.21/34,007.76
  6. Step 6: Final answer
    x = 27,129.87

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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.