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Finding the Fourth Proportional to 51,742.84, 71,412.85 and 31,611.35

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Solution

The fourth proportional to 51,742.84, 71,412.85 and 31,611.35 is: 43,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,742.84 : 71,412.85 = 31,611.35 : x
  2. Step 2: Convert to fraction form
    51,742.84/71,412.85 = 31,611.35/x
  3. Step 3: Cross multiply
    51,742.84x = 71,412.85 × 31,611.35
  4. Step 4: Simplify right side
    51,742.84x = 2,257,456,595.85
  5. Step 5: Solve for x
    x = 2,257,456,595.85/51,742.84
  6. Step 6: Final answer
    x = 43,628.39

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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.