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Finding the Fourth Proportional to 30,679.36, 46,013.91 and 8,494.98

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Solution

The fourth proportional to 30,679.36, 46,013.91 and 8,494.98 is: 12,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.36 : 46,013.91 = 8,494.98 : x
  2. Step 2: Convert to fraction form
    30,679.36/46,013.91 = 8,494.98/x
  3. Step 3: Cross multiply
    30,679.36x = 46,013.91 × 8,494.98
  4. Step 4: Simplify right side
    30,679.36x = 390,887,064.66
  5. Step 5: Solve for x
    x = 390,887,064.66/30,679.36
  6. Step 6: Final answer
    x = 12,741.04

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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.