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Finding the Fourth Proportional to 47,658.58, 71,450.51 and 30,091.50

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Solution

The fourth proportional to 47,658.58, 71,450.51 and 30,091.50 is: 45,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.58 : 71,450.51 = 30,091.50 : x
  2. Step 2: Convert to fraction form
    47,658.58/71,450.51 = 30,091.50/x
  3. Step 3: Cross multiply
    47,658.58x = 71,450.51 × 30,091.50
  4. Step 4: Simplify right side
    47,658.58x = 2,150,052,871.21
  5. Step 5: Solve for x
    x = 2,150,052,871.21/47,658.58
  6. Step 6: Final answer
    x = 45,113.66

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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.