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Finding the Fourth Proportional to 69,714.41, 104,485.95 and 32,223.76

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Solution

The fourth proportional to 69,714.41, 104,485.95 and 32,223.76 is: 48,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,714.41 : 104,485.95 = 32,223.76 : x
  2. Step 2: Convert to fraction form
    69,714.41/104,485.95 = 32,223.76/x
  3. Step 3: Cross multiply
    69,714.41x = 104,485.95 × 32,223.76
  4. Step 4: Simplify right side
    69,714.41x = 3,366,929,914.96
  5. Step 5: Solve for x
    x = 3,366,929,914.96/69,714.41
  6. Step 6: Final answer
    x = 48,296.04

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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.