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Finding the Fourth Proportional to 30,392.70, 45,584.49 and 9,613.50

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Solution

The fourth proportional to 30,392.70, 45,584.49 and 9,613.50 is: 14,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.70 : 45,584.49 = 9,613.50 : x
  2. Step 2: Convert to fraction form
    30,392.70/45,584.49 = 9,613.50/x
  3. Step 3: Cross multiply
    30,392.70x = 45,584.49 × 9,613.50
  4. Step 4: Simplify right side
    30,392.70x = 438,226,494.62
  5. Step 5: Solve for x
    x = 438,226,494.62/30,392.70
  6. Step 6: Final answer
    x = 14,418.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.