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Finding the Fourth Proportional to 30,428.25, 45,648.14 and 14,012.25

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Solution

The fourth proportional to 30,428.25, 45,648.14 and 14,012.25 is: 21,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.25 : 45,648.14 = 14,012.25 : x
  2. Step 2: Convert to fraction form
    30,428.25/45,648.14 = 14,012.25/x
  3. Step 3: Cross multiply
    30,428.25x = 45,648.14 × 14,012.25
  4. Step 4: Simplify right side
    30,428.25x = 639,633,079.65
  5. Step 5: Solve for x
    x = 639,633,079.65/30,428.25
  6. Step 6: Final answer
    x = 21,021.03

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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.