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Finding the Fourth Proportional to 73,115.94, 109,714.89 and 39,838.32

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Solution

The fourth proportional to 73,115.94, 109,714.89 and 39,838.32 is: 59,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,115.94 : 109,714.89 = 39,838.32 : x
  2. Step 2: Convert to fraction form
    73,115.94/109,714.89 = 39,838.32/x
  3. Step 3: Cross multiply
    73,115.94x = 109,714.89 × 39,838.32
  4. Step 4: Simplify right side
    73,115.94x = 4,370,856,896.58
  5. Step 5: Solve for x
    x = 4,370,856,896.58/73,115.94
  6. Step 6: Final answer
    x = 59,779.81

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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.