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Finding the Fourth Proportional to 147,747, 221,620.50 and 36,939

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Solution

The fourth proportional to 147,747, 221,620.50 and 36,939 is: 55,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,747 : 221,620.50 = 36,939 : x
  2. Step 2: Convert to fraction form
    147,747/221,620.50 = 36,939/x
  3. Step 3: Cross multiply
    147,747x = 221,620.50 × 36,939
  4. Step 4: Simplify right side
    147,747x = 8,186,439,649.50
  5. Step 5: Solve for x
    x = 8,186,439,649.50/147,747
  6. Step 6: Final answer
    x = 55,408.50

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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.