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Finding the Fourth Proportional to 59,622.36, 82,269.18 and 34,467

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Solution

The fourth proportional to 59,622.36, 82,269.18 and 34,467 is: 47,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,622.36 : 82,269.18 = 34,467 : x
  2. Step 2: Convert to fraction form
    59,622.36/82,269.18 = 34,467/x
  3. Step 3: Cross multiply
    59,622.36x = 82,269.18 × 34,467
  4. Step 4: Simplify right side
    59,622.36x = 2,835,571,827.06
  5. Step 5: Solve for x
    x = 2,835,571,827.06/59,622.36
  6. Step 6: Final answer
    x = 47,558.87

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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.