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Finding the Fourth Proportional to 35,033.26, 48,345.88 and 22,458

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Solution

The fourth proportional to 35,033.26, 48,345.88 and 22,458 is: 30,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033.26 : 48,345.88 = 22,458 : x
  2. Step 2: Convert to fraction form
    35,033.26/48,345.88 = 22,458/x
  3. Step 3: Cross multiply
    35,033.26x = 48,345.88 × 22,458
  4. Step 4: Simplify right side
    35,033.26x = 1,085,751,773.04
  5. Step 5: Solve for x
    x = 1,085,751,773.04/35,033.26
  6. Step 6: Final answer
    x = 30,992.03

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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.