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Finding the Fourth Proportional to 30,533.11, 45,846.14 and 29,029.54

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Solution

The fourth proportional to 30,533.11, 45,846.14 and 29,029.54 is: 43,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.11 : 45,846.14 = 29,029.54 : x
  2. Step 2: Convert to fraction form
    30,533.11/45,846.14 = 29,029.54/x
  3. Step 3: Cross multiply
    30,533.11x = 45,846.14 × 29,029.54
  4. Step 4: Simplify right side
    30,533.11x = 1,330,892,354.98
  5. Step 5: Solve for x
    x = 1,330,892,354.98/30,533.11
  6. Step 6: Final answer
    x = 43,588.50

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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.