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Finding the Fourth Proportional to 99,474, 149,238.34 and 29,353.32

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Solution

The fourth proportional to 99,474, 149,238.34 and 29,353.32 is: 44,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,474 : 149,238.34 = 29,353.32 : x
  2. Step 2: Convert to fraction form
    99,474/149,238.34 = 29,353.32/x
  3. Step 3: Cross multiply
    99,474x = 149,238.34 × 29,353.32
  4. Step 4: Simplify right side
    99,474x = 4,380,640,750.29
  5. Step 5: Solve for x
    x = 4,380,640,750.29/99,474
  6. Step 6: Final answer
    x = 44,038.05

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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.