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Finding the Fourth Proportional to 31,064.94, 46,597.40 and 7,691.37

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Solution

The fourth proportional to 31,064.94, 46,597.40 and 7,691.37 is: 11,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.94 : 46,597.40 = 7,691.37 : x
  2. Step 2: Convert to fraction form
    31,064.94/46,597.40 = 7,691.37/x
  3. Step 3: Cross multiply
    31,064.94x = 46,597.40 × 7,691.37
  4. Step 4: Simplify right side
    31,064.94x = 358,397,805.98
  5. Step 5: Solve for x
    x = 358,397,805.98/31,064.94
  6. Step 6: Final answer
    x = 11,537.05

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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.