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Finding the Fourth Proportional to 35,097.80, 48,419.42 and 20,942.46

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Solution

The fourth proportional to 35,097.80, 48,419.42 and 20,942.46 is: 28,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097.80 : 48,419.42 = 20,942.46 : x
  2. Step 2: Convert to fraction form
    35,097.80/48,419.42 = 20,942.46/x
  3. Step 3: Cross multiply
    35,097.80x = 48,419.42 × 20,942.46
  4. Step 4: Simplify right side
    35,097.80x = 1,014,021,661.86
  5. Step 5: Solve for x
    x = 1,014,021,661.86/35,097.80
  6. Step 6: Final answer
    x = 28,891.32

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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.