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Finding the Fourth Proportional to 72,826.35, 109,252.01 and 33,386.84

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Solution

The fourth proportional to 72,826.35, 109,252.01 and 33,386.84 is: 50,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,826.35 : 109,252.01 = 33,386.84 : x
  2. Step 2: Convert to fraction form
    72,826.35/109,252.01 = 33,386.84/x
  3. Step 3: Cross multiply
    72,826.35x = 109,252.01 × 33,386.84
  4. Step 4: Simplify right side
    72,826.35x = 3,647,579,377.55
  5. Step 5: Solve for x
    x = 3,647,579,377.55/72,826.35
  6. Step 6: Final answer
    x = 50,085.98

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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.