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Finding the Fourth Proportional to 99,765, 149,672.16 and 29,644.02

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Solution

The fourth proportional to 99,765, 149,672.16 and 29,644.02 is: 44,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765 : 149,672.16 = 29,644.02 : x
  2. Step 2: Convert to fraction form
    99,765/149,672.16 = 29,644.02/x
  3. Step 3: Cross multiply
    99,765x = 149,672.16 × 29,644.02
  4. Step 4: Simplify right side
    99,765x = 4,436,884,504.48
  5. Step 5: Solve for x
    x = 4,436,884,504.48/99,765
  6. Step 6: Final answer
    x = 44,473.36

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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.