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Finding the Fourth Proportional to 33,261.86, 49,886.54 and 14,289.84

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Solution

The fourth proportional to 33,261.86, 49,886.54 and 14,289.84 is: 21,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.86 : 49,886.54 = 14,289.84 : x
  2. Step 2: Convert to fraction form
    33,261.86/49,886.54 = 14,289.84/x
  3. Step 3: Cross multiply
    33,261.86x = 49,886.54 × 14,289.84
  4. Step 4: Simplify right side
    33,261.86x = 712,870,674.75
  5. Step 5: Solve for x
    x = 712,870,674.75/33,261.86
  6. Step 6: Final answer
    x = 21,432.07

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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.