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Finding the Fourth Proportional to 27,295.50, 40,949.73 and 8,827.50

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Solution

The fourth proportional to 27,295.50, 40,949.73 and 8,827.50 is: 13,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.50 : 40,949.73 = 8,827.50 : x
  2. Step 2: Convert to fraction form
    27,295.50/40,949.73 = 8,827.50/x
  3. Step 3: Cross multiply
    27,295.50x = 40,949.73 × 8,827.50
  4. Step 4: Simplify right side
    27,295.50x = 361,483,741.58
  5. Step 5: Solve for x
    x = 361,483,741.58/27,295.50
  6. Step 6: Final answer
    x = 13,243.35

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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.