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Finding the Fourth Proportional to 47,081, 70,561.44 and 22,065.88

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Solution

The fourth proportional to 47,081, 70,561.44 and 22,065.88 is: 33,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,081 : 70,561.44 = 22,065.88 : x
  2. Step 2: Convert to fraction form
    47,081/70,561.44 = 22,065.88/x
  3. Step 3: Cross multiply
    47,081x = 70,561.44 × 22,065.88
  4. Step 4: Simplify right side
    47,081x = 1,557,000,267.67
  5. Step 5: Solve for x
    x = 1,557,000,267.67/47,081
  6. Step 6: Final answer
    x = 33,070.67

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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.