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Finding the Fourth Proportional to 31,004.25, 46,501.38 and 8,509.67

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Solution

The fourth proportional to 31,004.25, 46,501.38 and 8,509.67 is: 12,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.25 : 46,501.38 = 8,509.67 : x
  2. Step 2: Convert to fraction form
    31,004.25/46,501.38 = 8,509.67/x
  3. Step 3: Cross multiply
    31,004.25x = 46,501.38 × 8,509.67
  4. Step 4: Simplify right side
    31,004.25x = 395,711,282.09
  5. Step 5: Solve for x
    x = 395,711,282.09/31,004.25
  6. Step 6: Final answer
    x = 12,763.13

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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.