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Finding the Fourth Proportional to 30,442.65, 45,668.25 and 9,384.38

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Solution

The fourth proportional to 30,442.65, 45,668.25 and 9,384.38 is: 14,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.65 : 45,668.25 = 9,384.38 : x
  2. Step 2: Convert to fraction form
    30,442.65/45,668.25 = 9,384.38/x
  3. Step 3: Cross multiply
    30,442.65x = 45,668.25 × 9,384.38
  4. Step 4: Simplify right side
    30,442.65x = 428,568,211.94
  5. Step 5: Solve for x
    x = 428,568,211.94/30,442.65
  6. Step 6: Final answer
    x = 14,077.89

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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.