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Finding the Fourth Proportional to 99,785.34, 149,652.45 and 29,648.25

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Solution

The fourth proportional to 99,785.34, 149,652.45 and 29,648.25 is: 44,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,785.34 : 149,652.45 = 29,648.25 : x
  2. Step 2: Convert to fraction form
    99,785.34/149,652.45 = 29,648.25/x
  3. Step 3: Cross multiply
    99,785.34x = 149,652.45 × 29,648.25
  4. Step 4: Simplify right side
    99,785.34x = 4,436,933,250.71
  5. Step 5: Solve for x
    x = 4,436,933,250.71/99,785.34
  6. Step 6: Final answer
    x = 44,464.78

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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.