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Finding the Fourth Proportional to 81,521.64, 122,269.86 and 33,495.12

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Solution

The fourth proportional to 81,521.64, 122,269.86 and 33,495.12 is: 50,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,521.64 : 122,269.86 = 33,495.12 : x
  2. Step 2: Convert to fraction form
    81,521.64/122,269.86 = 33,495.12/x
  3. Step 3: Cross multiply
    81,521.64x = 122,269.86 × 33,495.12
  4. Step 4: Simplify right side
    81,521.64x = 4,095,443,633.08
  5. Step 5: Solve for x
    x = 4,095,443,633.08/81,521.64
  6. Step 6: Final answer
    x = 50,237.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.