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Finding the Fourth Proportional to 78,758.16, 118,121.13 and 22,583.22

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Solution

The fourth proportional to 78,758.16, 118,121.13 and 22,583.22 is: 33,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,758.16 : 118,121.13 = 22,583.22 : x
  2. Step 2: Convert to fraction form
    78,758.16/118,121.13 = 22,583.22/x
  3. Step 3: Cross multiply
    78,758.16x = 118,121.13 × 22,583.22
  4. Step 4: Simplify right side
    78,758.16x = 2,667,555,465.44
  5. Step 5: Solve for x
    x = 2,667,555,465.44/78,758.16
  6. Step 6: Final answer
    x = 33,870.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.