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Finding the Fourth Proportional to 31,306.68, 46,959.93 and 7,933.05

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Solution

The fourth proportional to 31,306.68, 46,959.93 and 7,933.05 is: 11,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.68 : 46,959.93 = 7,933.05 : x
  2. Step 2: Convert to fraction form
    31,306.68/46,959.93 = 7,933.05/x
  3. Step 3: Cross multiply
    31,306.68x = 46,959.93 × 7,933.05
  4. Step 4: Simplify right side
    31,306.68x = 372,535,472.69
  5. Step 5: Solve for x
    x = 372,535,472.69/31,306.68
  6. Step 6: Final answer
    x = 11,899.55

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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.