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Finding the Fourth Proportional to 30,781.40, 46,138.25 and 12,057.93

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Solution

The fourth proportional to 30,781.40, 46,138.25 and 12,057.93 is: 18,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.40 : 46,138.25 = 12,057.93 : x
  2. Step 2: Convert to fraction form
    30,781.40/46,138.25 = 12,057.93/x
  3. Step 3: Cross multiply
    30,781.40x = 46,138.25 × 12,057.93
  4. Step 4: Simplify right side
    30,781.40x = 556,331,728.53
  5. Step 5: Solve for x
    x = 556,331,728.53/30,781.40
  6. Step 6: Final answer
    x = 18,073.64

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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.