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Finding the Fourth Proportional to 30,412.16, 45,617.92 and 20,021.44

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Solution

The fourth proportional to 30,412.16, 45,617.92 and 20,021.44 is: 30,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.16 : 45,617.92 = 20,021.44 : x
  2. Step 2: Convert to fraction form
    30,412.16/45,617.92 = 20,021.44/x
  3. Step 3: Cross multiply
    30,412.16x = 45,617.92 × 20,021.44
  4. Step 4: Simplify right side
    30,412.16x = 913,336,448.20
  5. Step 5: Solve for x
    x = 913,336,448.20/30,412.16
  6. Step 6: Final answer
    x = 30,031.95

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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.