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Finding the Fourth Proportional to 30,781.77, 46,138.80 and 12,058.31

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Solution

The fourth proportional to 30,781.77, 46,138.80 and 12,058.31 is: 18,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.77 : 46,138.80 = 12,058.31 : x
  2. Step 2: Convert to fraction form
    30,781.77/46,138.80 = 12,058.31/x
  3. Step 3: Cross multiply
    30,781.77x = 46,138.80 × 12,058.31
  4. Step 4: Simplify right side
    30,781.77x = 556,355,722.73
  5. Step 5: Solve for x
    x = 556,355,722.73/30,781.77
  6. Step 6: Final answer
    x = 18,074.20

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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.