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Finding the Fourth Proportional to 27,420.78, 41,131.80 and 8,952.78

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Solution

The fourth proportional to 27,420.78, 41,131.80 and 8,952.78 is: 13,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.78 : 41,131.80 = 8,952.78 : x
  2. Step 2: Convert to fraction form
    27,420.78/41,131.80 = 8,952.78/x
  3. Step 3: Cross multiply
    27,420.78x = 41,131.80 × 8,952.78
  4. Step 4: Simplify right side
    27,420.78x = 368,243,956.40
  5. Step 5: Solve for x
    x = 368,243,956.40/27,420.78
  6. Step 6: Final answer
    x = 13,429.38

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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.