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Finding the Fourth Proportional to 38,536.99, 53,184.87 and 22,621.10

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Solution

The fourth proportional to 38,536.99, 53,184.87 and 22,621.10 is: 31,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.99 : 53,184.87 = 22,621.10 : x
  2. Step 2: Convert to fraction form
    38,536.99/53,184.87 = 22,621.10/x
  3. Step 3: Cross multiply
    38,536.99x = 53,184.87 × 22,621.10
  4. Step 4: Simplify right side
    38,536.99x = 1,203,099,996.83
  5. Step 5: Solve for x
    x = 1,203,099,996.83/38,536.99
  6. Step 6: Final answer
    x = 31,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.