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Finding the Fourth Proportional to 30,858.96, 46,278.85 and 11,134.95

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Solution

The fourth proportional to 30,858.96, 46,278.85 and 11,134.95 is: 16,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.96 : 46,278.85 = 11,134.95 : x
  2. Step 2: Convert to fraction form
    30,858.96/46,278.85 = 11,134.95/x
  3. Step 3: Cross multiply
    30,858.96x = 46,278.85 × 11,134.95
  4. Step 4: Simplify right side
    30,858.96x = 515,312,680.81
  5. Step 5: Solve for x
    x = 515,312,680.81/30,858.96
  6. Step 6: Final answer
    x = 16,698.96

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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.