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Finding the Fourth Proportional to 84,803.60, 127,201.32 and 32,209

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Solution

The fourth proportional to 84,803.60, 127,201.32 and 32,209 is: 48,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,803.60 : 127,201.32 = 32,209 : x
  2. Step 2: Convert to fraction form
    84,803.60/127,201.32 = 32,209/x
  3. Step 3: Cross multiply
    84,803.60x = 127,201.32 × 32,209
  4. Step 4: Simplify right side
    84,803.60x = 4,097,027,315.88
  5. Step 5: Solve for x
    x = 4,097,027,315.88/84,803.60
  6. Step 6: Final answer
    x = 48,311.95

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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.