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Finding the Fourth Proportional to 30,582.69, 45,861.74 and 9,515.75

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Solution

The fourth proportional to 30,582.69, 45,861.74 and 9,515.75 is: 14,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.69 : 45,861.74 = 9,515.75 : x
  2. Step 2: Convert to fraction form
    30,582.69/45,861.74 = 9,515.75/x
  3. Step 3: Cross multiply
    30,582.69x = 45,861.74 × 9,515.75
  4. Step 4: Simplify right side
    30,582.69x = 436,408,575.52
  5. Step 5: Solve for x
    x = 436,408,575.52/30,582.69
  6. Step 6: Final answer
    x = 14,269.79

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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.