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Finding the Fourth Proportional to 31,315.48, 46,973.58 and 7,941.32

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Solution

The fourth proportional to 31,315.48, 46,973.58 and 7,941.32 is: 11,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.48 : 46,973.58 = 7,941.32 : x
  2. Step 2: Convert to fraction form
    31,315.48/46,973.58 = 7,941.32/x
  3. Step 3: Cross multiply
    31,315.48x = 46,973.58 × 7,941.32
  4. Step 4: Simplify right side
    31,315.48x = 373,032,230.33
  5. Step 5: Solve for x
    x = 373,032,230.33/31,315.48
  6. Step 6: Final answer
    x = 11,912.07

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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.