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Finding the Fourth Proportional to 35,198.16, 48,574.28 and 20,090.52

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Solution

The fourth proportional to 35,198.16, 48,574.28 and 20,090.52 is: 27,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.16 : 48,574.28 = 20,090.52 : x
  2. Step 2: Convert to fraction form
    35,198.16/48,574.28 = 20,090.52/x
  3. Step 3: Cross multiply
    35,198.16x = 48,574.28 × 20,090.52
  4. Step 4: Simplify right side
    35,198.16x = 975,882,543.83
  5. Step 5: Solve for x
    x = 975,882,543.83/35,198.16
  6. Step 6: Final answer
    x = 27,725.39

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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.