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Finding the Fourth Proportional to 102,676.44, 153,893.46 and 46,450.68

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Solution

The fourth proportional to 102,676.44, 153,893.46 and 46,450.68 is: 69,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,676.44 : 153,893.46 = 46,450.68 : x
  2. Step 2: Convert to fraction form
    102,676.44/153,893.46 = 46,450.68/x
  3. Step 3: Cross multiply
    102,676.44x = 153,893.46 × 46,450.68
  4. Step 4: Simplify right side
    102,676.44x = 7,148,455,864.55
  5. Step 5: Solve for x
    x = 7,148,455,864.55/102,676.44
  6. Step 6: Final answer
    x = 69,621.19

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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.