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Finding the Fourth Proportional to 30,205.77, 41,684.87 and 18,271.29

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Solution

The fourth proportional to 30,205.77, 41,684.87 and 18,271.29 is: 25,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.77 : 41,684.87 = 18,271.29 : x
  2. Step 2: Convert to fraction form
    30,205.77/41,684.87 = 18,271.29/x
  3. Step 3: Cross multiply
    30,205.77x = 41,684.87 × 18,271.29
  4. Step 4: Simplify right side
    30,205.77x = 761,636,348.38
  5. Step 5: Solve for x
    x = 761,636,348.38/30,205.77
  6. Step 6: Final answer
    x = 25,214.93

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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.