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Finding the Fourth Proportional to 99,765.75, 149,673.29 and 29,644.77

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Solution

The fourth proportional to 99,765.75, 149,673.29 and 29,644.77 is: 44,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.75 : 149,673.29 = 29,644.77 : x
  2. Step 2: Convert to fraction form
    99,765.75/149,673.29 = 29,644.77/x
  3. Step 3: Cross multiply
    99,765.75x = 149,673.29 × 29,644.77
  4. Step 4: Simplify right side
    99,765.75x = 4,437,030,108.97
  5. Step 5: Solve for x
    x = 4,437,030,108.97/99,765.75
  6. Step 6: Final answer
    x = 44,474.48

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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.