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Finding the Fourth Proportional to 30,859.24, 46,311.90 and 19,189.48

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Solution

The fourth proportional to 30,859.24, 46,311.90 and 19,189.48 is: 28,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.24 : 46,311.90 = 19,189.48 : x
  2. Step 2: Convert to fraction form
    30,859.24/46,311.90 = 19,189.48/x
  3. Step 3: Cross multiply
    30,859.24x = 46,311.90 × 19,189.48
  4. Step 4: Simplify right side
    30,859.24x = 888,701,278.81
  5. Step 5: Solve for x
    x = 888,701,278.81/30,859.24
  6. Step 6: Final answer
    x = 28,798.55

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