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Finding the Fourth Proportional to 30,831.98, 46,250.02 and 10,839.02

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Solution

The fourth proportional to 30,831.98, 46,250.02 and 10,839.02 is: 16,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.98 : 46,250.02 = 10,839.02 : x
  2. Step 2: Convert to fraction form
    30,831.98/46,250.02 = 10,839.02/x
  3. Step 3: Cross multiply
    30,831.98x = 46,250.02 × 10,839.02
  4. Step 4: Simplify right side
    30,831.98x = 501,304,891.78
  5. Step 5: Solve for x
    x = 501,304,891.78/30,831.98
  6. Step 6: Final answer
    x = 16,259.25

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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.