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Finding the Fourth Proportional to 30,806.19, 46,209.29 and 10,831.37

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Solution

The fourth proportional to 30,806.19, 46,209.29 and 10,831.37 is: 16,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.19 : 46,209.29 = 10,831.37 : x
  2. Step 2: Convert to fraction form
    30,806.19/46,209.29 = 10,831.37/x
  3. Step 3: Cross multiply
    30,806.19x = 46,209.29 × 10,831.37
  4. Step 4: Simplify right side
    30,806.19x = 500,509,632.22
  5. Step 5: Solve for x
    x = 500,509,632.22/30,806.19
  6. Step 6: Final answer
    x = 16,247.05

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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.