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Finding the Fourth Proportional to 30,869.61, 46,315.50 and 12,139.27

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Solution

The fourth proportional to 30,869.61, 46,315.50 and 12,139.27 is: 18,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.61 : 46,315.50 = 12,139.27 : x
  2. Step 2: Convert to fraction form
    30,869.61/46,315.50 = 12,139.27/x
  3. Step 3: Cross multiply
    30,869.61x = 46,315.50 × 12,139.27
  4. Step 4: Simplify right side
    30,869.61x = 562,236,198.37
  5. Step 5: Solve for x
    x = 562,236,198.37/30,869.61
  6. Step 6: Final answer
    x = 18,213.26

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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.