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Finding the Fourth Proportional to 30,578.50, 45,874.33 and 9,518.10

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Solution

The fourth proportional to 30,578.50, 45,874.33 and 9,518.10 is: 14,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.50 : 45,874.33 = 9,518.10 : x
  2. Step 2: Convert to fraction form
    30,578.50/45,874.33 = 9,518.10/x
  3. Step 3: Cross multiply
    30,578.50x = 45,874.33 × 9,518.10
  4. Step 4: Simplify right side
    30,578.50x = 436,636,460.37
  5. Step 5: Solve for x
    x = 436,636,460.37/30,578.50
  6. Step 6: Final answer
    x = 14,279.20

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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.