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Finding the Fourth Proportional to 33,261.86, 49,901.09 and 9,888.30

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Solution

The fourth proportional to 33,261.86, 49,901.09 and 9,888.30 is: 14,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.86 : 49,901.09 = 9,888.30 : x
  2. Step 2: Convert to fraction form
    33,261.86/49,901.09 = 9,888.30/x
  3. Step 3: Cross multiply
    33,261.86x = 49,901.09 × 9,888.30
  4. Step 4: Simplify right side
    33,261.86x = 493,436,898.81
  5. Step 5: Solve for x
    x = 493,436,898.81/33,261.86
  6. Step 6: Final answer
    x = 14,834.92

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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.