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Finding the Fourth Proportional to 30,613.62, 45,907.89 and 9,546.52

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Solution

The fourth proportional to 30,613.62, 45,907.89 and 9,546.52 is: 14,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.62 : 45,907.89 = 9,546.52 : x
  2. Step 2: Convert to fraction form
    30,613.62/45,907.89 = 9,546.52/x
  3. Step 3: Cross multiply
    30,613.62x = 45,907.89 × 9,546.52
  4. Step 4: Simplify right side
    30,613.62x = 438,260,590.04
  5. Step 5: Solve for x
    x = 438,260,590.04/30,613.62
  6. Step 6: Final answer
    x = 14,315.87

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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.