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Finding the Fourth Proportional to 27,692.42, 41,472.41 and 15,970.10

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Solution

The fourth proportional to 27,692.42, 41,472.41 and 15,970.10 is: 23,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.42 : 41,472.41 = 15,970.10 : x
  2. Step 2: Convert to fraction form
    27,692.42/41,472.41 = 15,970.10/x
  3. Step 3: Cross multiply
    27,692.42x = 41,472.41 × 15,970.10
  4. Step 4: Simplify right side
    27,692.42x = 662,318,247.73
  5. Step 5: Solve for x
    x = 662,318,247.73/27,692.42
  6. Step 6: Final answer
    x = 23,916.96

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1.5x scale

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.