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Finding the Fourth Proportional to 98,794.78, 148,192.55 and 23,914.80

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Solution

The fourth proportional to 98,794.78, 148,192.55 and 23,914.80 is: 35,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794.78 : 148,192.55 = 23,914.80 : x
  2. Step 2: Convert to fraction form
    98,794.78/148,192.55 = 23,914.80/x
  3. Step 3: Cross multiply
    98,794.78x = 148,192.55 × 23,914.80
  4. Step 4: Simplify right side
    98,794.78x = 3,543,995,075.17
  5. Step 5: Solve for x
    x = 3,543,995,075.17/98,794.78
  6. Step 6: Final answer
    x = 35,872.29

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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.