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Finding the Fourth Proportional to 47,042.92, 70,530.78 and 22,069

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Solution

The fourth proportional to 47,042.92, 70,530.78 and 22,069 is: 33,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042.92 : 70,530.78 = 22,069 : x
  2. Step 2: Convert to fraction form
    47,042.92/70,530.78 = 22,069/x
  3. Step 3: Cross multiply
    47,042.92x = 70,530.78 × 22,069
  4. Step 4: Simplify right side
    47,042.92x = 1,556,543,783.82
  5. Step 5: Solve for x
    x = 1,556,543,783.82/47,042.92
  6. Step 6: Final answer
    x = 33,087.74

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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.