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Finding the Fourth Proportional to 30,643.50, 45,976.20 and 15,072.06

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Solution

The fourth proportional to 30,643.50, 45,976.20 and 15,072.06 is: 22,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.50 : 45,976.20 = 15,072.06 : x
  2. Step 2: Convert to fraction form
    30,643.50/45,976.20 = 15,072.06/x
  3. Step 3: Cross multiply
    30,643.50x = 45,976.20 × 15,072.06
  4. Step 4: Simplify right side
    30,643.50x = 692,956,044.97
  5. Step 5: Solve for x
    x = 692,956,044.97/30,643.50
  6. Step 6: Final answer
    x = 22,613.48

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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.