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Finding the Fourth Proportional to 31,019.50, 46,533.56 and 9,954.60

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Solution

The fourth proportional to 31,019.50, 46,533.56 and 9,954.60 is: 14,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.50 : 46,533.56 = 9,954.60 : x
  2. Step 2: Convert to fraction form
    31,019.50/46,533.56 = 9,954.60/x
  3. Step 3: Cross multiply
    31,019.50x = 46,533.56 × 9,954.60
  4. Step 4: Simplify right side
    31,019.50x = 463,222,976.38
  5. Step 5: Solve for x
    x = 463,222,976.38/31,019.50
  6. Step 6: Final answer
    x = 14,933.28

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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.