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Finding the Fourth Proportional to 34,054.38, 46,968.41 and 22,121.57

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Solution

The fourth proportional to 34,054.38, 46,968.41 and 22,121.57 is: 30,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054.38 : 46,968.41 = 22,121.57 : x
  2. Step 2: Convert to fraction form
    34,054.38/46,968.41 = 22,121.57/x
  3. Step 3: Cross multiply
    34,054.38x = 46,968.41 × 22,121.57
  4. Step 4: Simplify right side
    34,054.38x = 1,039,014,624.15
  5. Step 5: Solve for x
    x = 1,039,014,624.15/34,054.38
  6. Step 6: Final answer
    x = 30,510.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.