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Finding the Fourth Proportional to 99,943.88, 149,989.52 and 47,353.41

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Solution

The fourth proportional to 99,943.88, 149,989.52 and 47,353.41 is: 71,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,943.88 : 149,989.52 = 47,353.41 : x
  2. Step 2: Convert to fraction form
    99,943.88/149,989.52 = 47,353.41/x
  3. Step 3: Cross multiply
    99,943.88x = 149,989.52 × 47,353.41
  4. Step 4: Simplify right side
    99,943.88x = 7,102,515,354.65
  5. Step 5: Solve for x
    x = 7,102,515,354.65/99,943.88
  6. Step 6: Final answer
    x = 71,065.04

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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.