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Finding the Fourth Proportional to 30,690.39, 46,040.13 and 9,632.16

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Solution

The fourth proportional to 30,690.39, 46,040.13 and 9,632.16 is: 14,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.39 : 46,040.13 = 9,632.16 : x
  2. Step 2: Convert to fraction form
    30,690.39/46,040.13 = 9,632.16/x
  3. Step 3: Cross multiply
    30,690.39x = 46,040.13 × 9,632.16
  4. Step 4: Simplify right side
    30,690.39x = 443,465,898.58
  5. Step 5: Solve for x
    x = 443,465,898.58/30,690.39
  6. Step 6: Final answer
    x = 14,449.67

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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.