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Finding the Fourth Proportional to 102,562.56, 153,843.84 and 28,690.56

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Solution

The fourth proportional to 102,562.56, 153,843.84 and 28,690.56 is: 43,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.56 : 153,843.84 = 28,690.56 : x
  2. Step 2: Convert to fraction form
    102,562.56/153,843.84 = 28,690.56/x
  3. Step 3: Cross multiply
    102,562.56x = 153,843.84 × 28,690.56
  4. Step 4: Simplify right side
    102,562.56x = 4,413,865,922.15
  5. Step 5: Solve for x
    x = 4,413,865,922.15/102,562.56
  6. Step 6: Final answer
    x = 43,035.84

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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.