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Finding the Fourth Proportional to 102,893.82, 154,346.73 and 39,714.27

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Solution

The fourth proportional to 102,893.82, 154,346.73 and 39,714.27 is: 59,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,893.82 : 154,346.73 = 39,714.27 : x
  2. Step 2: Convert to fraction form
    102,893.82/154,346.73 = 39,714.27/x
  3. Step 3: Cross multiply
    102,893.82x = 154,346.73 × 39,714.27
  4. Step 4: Simplify right side
    102,893.82x = 6,129,767,708.84
  5. Step 5: Solve for x
    x = 6,129,767,708.84/102,893.82
  6. Step 6: Final answer
    x = 59,573.72

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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.