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Finding the Fourth Proportional to 20,851.99, 31,277.87 and 5,057.01

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Solution

The fourth proportional to 20,851.99, 31,277.87 and 5,057.01 is: 7,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.99 : 31,277.87 = 5,057.01 : x
  2. Step 2: Convert to fraction form
    20,851.99/31,277.87 = 5,057.01/x
  3. Step 3: Cross multiply
    20,851.99x = 31,277.87 × 5,057.01
  4. Step 4: Simplify right side
    20,851.99x = 158,172,501.37
  5. Step 5: Solve for x
    x = 158,172,501.37/20,851.99
  6. Step 6: Final answer
    x = 7,585.49

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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.