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Finding the Fourth Proportional to 34,051.97, 51,086.16 and 10,678.41

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Solution

The fourth proportional to 34,051.97, 51,086.16 and 10,678.41 is: 16,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.97 : 51,086.16 = 10,678.41 : x
  2. Step 2: Convert to fraction form
    34,051.97/51,086.16 = 10,678.41/x
  3. Step 3: Cross multiply
    34,051.97x = 51,086.16 × 10,678.41
  4. Step 4: Simplify right side
    34,051.97x = 545,518,961.81
  5. Step 5: Solve for x
    x = 545,518,961.81/34,051.97
  6. Step 6: Final answer
    x = 16,020.19

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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.