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Finding the Fourth Proportional to 34,702.92, 52,035.66 and 18,021.80

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Solution

The fourth proportional to 34,702.92, 52,035.66 and 18,021.80 is: 27,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.92 : 52,035.66 = 18,021.80 : x
  2. Step 2: Convert to fraction form
    34,702.92/52,035.66 = 18,021.80/x
  3. Step 3: Cross multiply
    34,702.92x = 52,035.66 × 18,021.80
  4. Step 4: Simplify right side
    34,702.92x = 937,776,257.39
  5. Step 5: Solve for x
    x = 937,776,257.39/34,702.92
  6. Step 6: Final answer
    x = 27,022.98

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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.