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Finding the Fourth Proportional to 30,390.94, 41,919.01 and 26,405.20

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Solution

The fourth proportional to 30,390.94, 41,919.01 and 26,405.20 is: 36,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390.94 : 41,919.01 = 26,405.20 : x
  2. Step 2: Convert to fraction form
    30,390.94/41,919.01 = 26,405.20/x
  3. Step 3: Cross multiply
    30,390.94x = 41,919.01 × 26,405.20
  4. Step 4: Simplify right side
    30,390.94x = 1,106,879,842.85
  5. Step 5: Solve for x
    x = 1,106,879,842.85/30,390.94
  6. Step 6: Final answer
    x = 36,421.38

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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.