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Finding the Fourth Proportional to 30,389.68, 41,923.38 and 19,775.44

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Solution

The fourth proportional to 30,389.68, 41,923.38 and 19,775.44 is: 27,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,389.68 : 41,923.38 = 19,775.44 : x
  2. Step 2: Convert to fraction form
    30,389.68/41,923.38 = 19,775.44/x
  3. Step 3: Cross multiply
    30,389.68x = 41,923.38 × 19,775.44
  4. Step 4: Simplify right side
    30,389.68x = 829,053,285.79
  5. Step 5: Solve for x
    x = 829,053,285.79/30,389.68
  6. Step 6: Final answer
    x = 27,280.75

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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.