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Finding the Fourth Proportional to 35,339.40, 53,009.10 and 33,784.20

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Solution

The fourth proportional to 35,339.40, 53,009.10 and 33,784.20 is: 50,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,339.40 : 53,009.10 = 33,784.20 : x
  2. Step 2: Convert to fraction form
    35,339.40/53,009.10 = 33,784.20/x
  3. Step 3: Cross multiply
    35,339.40x = 53,009.10 × 33,784.20
  4. Step 4: Simplify right side
    35,339.40x = 1,790,870,036.22
  5. Step 5: Solve for x
    x = 1,790,870,036.22/35,339.40
  6. Step 6: Final answer
    x = 50,676.30

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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.