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Finding the Fourth Proportional to 30,826.87, 46,229.35 and 11,100.13

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Solution

The fourth proportional to 30,826.87, 46,229.35 and 11,100.13 is: 16,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.87 : 46,229.35 = 11,100.13 : x
  2. Step 2: Convert to fraction form
    30,826.87/46,229.35 = 11,100.13/x
  3. Step 3: Cross multiply
    30,826.87x = 46,229.35 × 11,100.13
  4. Step 4: Simplify right side
    30,826.87x = 513,151,794.82
  5. Step 5: Solve for x
    x = 513,151,794.82/30,826.87
  6. Step 6: Final answer
    x = 16,646.25

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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.