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Finding the Fourth Proportional to 30,668.40, 46,019.52 and 15,086.16

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Solution

The fourth proportional to 30,668.40, 46,019.52 and 15,086.16 is: 22,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.40 : 46,019.52 = 15,086.16 : x
  2. Step 2: Convert to fraction form
    30,668.40/46,019.52 = 15,086.16/x
  3. Step 3: Cross multiply
    30,668.40x = 46,019.52 × 15,086.16
  4. Step 4: Simplify right side
    30,668.40x = 694,257,841.84
  5. Step 5: Solve for x
    x = 694,257,841.84/30,668.40
  6. Step 6: Final answer
    x = 22,637.56

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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.