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Finding the Fourth Proportional to 30,901.80, 46,374.30 and 13,384.20

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Solution

The fourth proportional to 30,901.80, 46,374.30 and 13,384.20 is: 20,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.80 : 46,374.30 = 13,384.20 : x
  2. Step 2: Convert to fraction form
    30,901.80/46,374.30 = 13,384.20/x
  3. Step 3: Cross multiply
    30,901.80x = 46,374.30 × 13,384.20
  4. Step 4: Simplify right side
    30,901.80x = 620,682,906.06
  5. Step 5: Solve for x
    x = 620,682,906.06/30,901.80
  6. Step 6: Final answer
    x = 20,085.66

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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.