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Finding the Fourth Proportional to 27,232.80, 40,816.80 and 14,078.40

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Solution

The fourth proportional to 27,232.80, 40,816.80 and 14,078.40 is: 21,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232.80 : 40,816.80 = 14,078.40 : x
  2. Step 2: Convert to fraction form
    27,232.80/40,816.80 = 14,078.40/x
  3. Step 3: Cross multiply
    27,232.80x = 40,816.80 × 14,078.40
  4. Step 4: Simplify right side
    27,232.80x = 574,635,237.12
  5. Step 5: Solve for x
    x = 574,635,237.12/27,232.80
  6. Step 6: Final answer
    x = 21,100.85

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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.