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Finding the Fourth Proportional to 30,706.68, 46,081.88 and 13,181.52

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Solution

The fourth proportional to 30,706.68, 46,081.88 and 13,181.52 is: 19,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.68 : 46,081.88 = 13,181.52 : x
  2. Step 2: Convert to fraction form
    30,706.68/46,081.88 = 13,181.52/x
  3. Step 3: Cross multiply
    30,706.68x = 46,081.88 × 13,181.52
  4. Step 4: Simplify right side
    30,706.68x = 607,429,222.86
  5. Step 5: Solve for x
    x = 607,429,222.86/30,706.68
  6. Step 6: Final answer
    x = 19,781.66

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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.