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Finding the Fourth Proportional to 55,212.94, 82,714.91 and 32,656.06

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Solution

The fourth proportional to 55,212.94, 82,714.91 and 32,656.06 is: 48,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,212.94 : 82,714.91 = 32,656.06 : x
  2. Step 2: Convert to fraction form
    55,212.94/82,714.91 = 32,656.06/x
  3. Step 3: Cross multiply
    55,212.94x = 82,714.91 × 32,656.06
  4. Step 4: Simplify right side
    55,212.94x = 2,701,142,650.28
  5. Step 5: Solve for x
    x = 2,701,142,650.28/55,212.94
  6. Step 6: Final answer
    x = 48,922.28

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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.