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Finding the Fourth Proportional to 31,315.68, 46,973.43 and 7,942.05

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Solution

The fourth proportional to 31,315.68, 46,973.43 and 7,942.05 is: 11,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.68 : 46,973.43 = 7,942.05 : x
  2. Step 2: Convert to fraction form
    31,315.68/46,973.43 = 7,942.05/x
  3. Step 3: Cross multiply
    31,315.68x = 46,973.43 × 7,942.05
  4. Step 4: Simplify right side
    31,315.68x = 373,065,329.73
  5. Step 5: Solve for x
    x = 373,065,329.73/31,315.68
  6. Step 6: Final answer
    x = 11,913.05

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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.