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Finding the Fourth Proportional to 34,663.94, 47,843.88 and 22,543.34

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Solution

The fourth proportional to 34,663.94, 47,843.88 and 22,543.34 is: 31,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,663.94 : 47,843.88 = 22,543.34 : x
  2. Step 2: Convert to fraction form
    34,663.94/47,843.88 = 22,543.34/x
  3. Step 3: Cross multiply
    34,663.94x = 47,843.88 × 22,543.34
  4. Step 4: Simplify right side
    34,663.94x = 1,078,560,853.76
  5. Step 5: Solve for x
    x = 1,078,560,853.76/34,663.94
  6. Step 6: Final answer
    x = 31,114.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.