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Finding the Fourth Proportional to 35,338.40, 53,007.60 and 33,783.20

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Solution

The fourth proportional to 35,338.40, 53,007.60 and 33,783.20 is: 50,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.40 : 53,007.60 = 33,783.20 : x
  2. Step 2: Convert to fraction form
    35,338.40/53,007.60 = 33,783.20/x
  3. Step 3: Cross multiply
    35,338.40x = 53,007.60 × 33,783.20
  4. Step 4: Simplify right side
    35,338.40x = 1,790,766,352.32
  5. Step 5: Solve for x
    x = 1,790,766,352.32/35,338.40
  6. Step 6: Final answer
    x = 50,674.80

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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.