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Finding the Fourth Proportional to 30,006.50, 41,409.50 and 16,576.95

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Solution

The fourth proportional to 30,006.50, 41,409.50 and 16,576.95 is: 22,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.50 : 41,409.50 = 16,576.95 : x
  2. Step 2: Convert to fraction form
    30,006.50/41,409.50 = 16,576.95/x
  3. Step 3: Cross multiply
    30,006.50x = 41,409.50 × 16,576.95
  4. Step 4: Simplify right side
    30,006.50x = 686,443,211.03
  5. Step 5: Solve for x
    x = 686,443,211.03/30,006.50
  6. Step 6: Final answer
    x = 22,876.48

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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.