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Finding the Fourth Proportional to 27,033.60, 40,543.20 and 8,313.60

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Solution

The fourth proportional to 27,033.60, 40,543.20 and 8,313.60 is: 12,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.60 : 40,543.20 = 8,313.60 : x
  2. Step 2: Convert to fraction form
    27,033.60/40,543.20 = 8,313.60/x
  3. Step 3: Cross multiply
    27,033.60x = 40,543.20 × 8,313.60
  4. Step 4: Simplify right side
    27,033.60x = 337,059,947.52
  5. Step 5: Solve for x
    x = 337,059,947.52/27,033.60
  6. Step 6: Final answer
    x = 12,468.19

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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.