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Finding the Fourth Proportional to 20,448.18, 30,681.99 and 10,057.50

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Solution

The fourth proportional to 20,448.18, 30,681.99 and 10,057.50 is: 15,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.18 : 30,681.99 = 10,057.50 : x
  2. Step 2: Convert to fraction form
    20,448.18/30,681.99 = 10,057.50/x
  3. Step 3: Cross multiply
    20,448.18x = 30,681.99 × 10,057.50
  4. Step 4: Simplify right side
    20,448.18x = 308,584,114.43
  5. Step 5: Solve for x
    x = 308,584,114.43/20,448.18
  6. Step 6: Final answer
    x = 15,091.03

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Why These Related Problems?

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