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Finding the Fourth Proportional to 30,668.81, 46,003.16 and 9,610.47

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Solution

The fourth proportional to 30,668.81, 46,003.16 and 9,610.47 is: 14,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.81 : 46,003.16 = 9,610.47 : x
  2. Step 2: Convert to fraction form
    30,668.81/46,003.16 = 9,610.47/x
  3. Step 3: Cross multiply
    30,668.81x = 46,003.16 × 9,610.47
  4. Step 4: Simplify right side
    30,668.81x = 442,111,874.08
  5. Step 5: Solve for x
    x = 442,111,874.08/30,668.81
  6. Step 6: Final answer
    x = 14,415.68

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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.