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Finding the Fourth Proportional to 33,542, 46,307.40 and 22,383.44

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Solution

The fourth proportional to 33,542, 46,307.40 and 22,383.44 is: 30,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542 : 46,307.40 = 22,383.44 : x
  2. Step 2: Convert to fraction form
    33,542/46,307.40 = 22,383.44/x
  3. Step 3: Cross multiply
    33,542x = 46,307.40 × 22,383.44
  4. Step 4: Simplify right side
    33,542x = 1,036,518,909.46
  5. Step 5: Solve for x
    x = 1,036,518,909.46/33,542
  6. Step 6: Final answer
    x = 30,902.12

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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.