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Finding the Fourth Proportional to 25,427.99, 35,078.16 and 22,066.09

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Solution

The fourth proportional to 25,427.99, 35,078.16 and 22,066.09 is: 30,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.99 : 35,078.16 = 22,066.09 : x
  2. Step 2: Convert to fraction form
    25,427.99/35,078.16 = 22,066.09/x
  3. Step 3: Cross multiply
    25,427.99x = 35,078.16 × 22,066.09
  4. Step 4: Simplify right side
    25,427.99x = 774,037,830.65
  5. Step 5: Solve for x
    x = 774,037,830.65/25,427.99
  6. Step 6: Final answer
    x = 30,440.38

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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.