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Finding the Fourth Proportional to 30,713.96, 46,065.36 and 8,521.76

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Solution

The fourth proportional to 30,713.96, 46,065.36 and 8,521.76 is: 12,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.96 : 46,065.36 = 8,521.76 : x
  2. Step 2: Convert to fraction form
    30,713.96/46,065.36 = 8,521.76/x
  3. Step 3: Cross multiply
    30,713.96x = 46,065.36 × 8,521.76
  4. Step 4: Simplify right side
    30,713.96x = 392,557,942.23
  5. Step 5: Solve for x
    x = 392,557,942.23/30,713.96
  6. Step 6: Final answer
    x = 12,781.09

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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.