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Finding the Fourth Proportional to 31,150.70, 46,739.72 and 16,356.18

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Solution

The fourth proportional to 31,150.70, 46,739.72 and 16,356.18 is: 24,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,150.70 : 46,739.72 = 16,356.18 : x
  2. Step 2: Convert to fraction form
    31,150.70/46,739.72 = 16,356.18/x
  3. Step 3: Cross multiply
    31,150.70x = 46,739.72 × 16,356.18
  4. Step 4: Simplify right side
    31,150.70x = 764,483,273.47
  5. Step 5: Solve for x
    x = 764,483,273.47/31,150.70
  6. Step 6: Final answer
    x = 24,541.45

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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.