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Finding the Fourth Proportional to 30,889.86, 46,298.94 and 14,214.88

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Solution

The fourth proportional to 30,889.86, 46,298.94 and 14,214.88 is: 21,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.86 : 46,298.94 = 14,214.88 : x
  2. Step 2: Convert to fraction form
    30,889.86/46,298.94 = 14,214.88/x
  3. Step 3: Cross multiply
    30,889.86x = 46,298.94 × 14,214.88
  4. Step 4: Simplify right side
    30,889.86x = 658,133,876.23
  5. Step 5: Solve for x
    x = 658,133,876.23/30,889.86
  6. Step 6: Final answer
    x = 21,305.82

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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.