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Finding the Fourth Proportional to 102,893.30, 154,369.17 and 32,778.02

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Solution

The fourth proportional to 102,893.30, 154,369.17 and 32,778.02 is: 49,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893.30 : 154,369.17 = 32,778.02 : x
  2. Step 2: Convert to fraction form
    102,893.30/154,369.17 = 32,778.02/x
  3. Step 3: Cross multiply
    102,893.30x = 154,369.17 × 32,778.02
  4. Step 4: Simplify right side
    102,893.30x = 5,059,915,741.64
  5. Step 5: Solve for x
    x = 5,059,915,741.64/102,893.30
  6. Step 6: Final answer
    x = 49,176.34

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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.