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Finding the Fourth Proportional to 30,328.62, 41,853.59 and 17,584.30

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Solution

The fourth proportional to 30,328.62, 41,853.59 and 17,584.30 is: 24,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,328.62 : 41,853.59 = 17,584.30 : x
  2. Step 2: Convert to fraction form
    30,328.62/41,853.59 = 17,584.30/x
  3. Step 3: Cross multiply
    30,328.62x = 41,853.59 × 17,584.30
  4. Step 4: Simplify right side
    30,328.62x = 735,966,082.64
  5. Step 5: Solve for x
    x = 735,966,082.64/30,328.62
  6. Step 6: Final answer
    x = 24,266.39

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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.