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Finding the Fourth Proportional to 27,847.52, 41,775.28 and 8,123.52

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Solution

The fourth proportional to 27,847.52, 41,775.28 and 8,123.52 is: 12,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.52 : 41,775.28 = 8,123.52 : x
  2. Step 2: Convert to fraction form
    27,847.52/41,775.28 = 8,123.52/x
  3. Step 3: Cross multiply
    27,847.52x = 41,775.28 × 8,123.52
  4. Step 4: Simplify right side
    27,847.52x = 339,362,322.59
  5. Step 5: Solve for x
    x = 339,362,322.59/27,847.52
  6. Step 6: Final answer
    x = 12,186.45

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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.