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Finding the Fourth Proportional to 53,906.40, 80,804.16 and 18,822.24

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Solution

The fourth proportional to 53,906.40, 80,804.16 and 18,822.24 is: 28,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.40 : 80,804.16 = 18,822.24 : x
  2. Step 2: Convert to fraction form
    53,906.40/80,804.16 = 18,822.24/x
  3. Step 3: Cross multiply
    53,906.40x = 80,804.16 × 18,822.24
  4. Step 4: Simplify right side
    53,906.40x = 1,520,915,292.52
  5. Step 5: Solve for x
    x = 1,520,915,292.52/53,906.40
  6. Step 6: Final answer
    x = 28,214.00

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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.