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Finding the Fourth Proportional to 35,793.34, 53,705.16 and 19,149

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Solution

The fourth proportional to 35,793.34, 53,705.16 and 19,149 is: 28,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,793.34 : 53,705.16 = 19,149 : x
  2. Step 2: Convert to fraction form
    35,793.34/53,705.16 = 19,149/x
  3. Step 3: Cross multiply
    35,793.34x = 53,705.16 × 19,149
  4. Step 4: Simplify right side
    35,793.34x = 1,028,400,108.84
  5. Step 5: Solve for x
    x = 1,028,400,108.84/35,793.34
  6. Step 6: Final answer
    x = 28,731.61

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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.