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Finding the Fourth Proportional to 53,765.60, 80,648.40 and 16,824.80

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Solution

The fourth proportional to 53,765.60, 80,648.40 and 16,824.80 is: 25,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,765.60 : 80,648.40 = 16,824.80 : x
  2. Step 2: Convert to fraction form
    53,765.60/80,648.40 = 16,824.80/x
  3. Step 3: Cross multiply
    53,765.60x = 80,648.40 × 16,824.80
  4. Step 4: Simplify right side
    53,765.60x = 1,356,893,200.32
  5. Step 5: Solve for x
    x = 1,356,893,200.32/53,765.60
  6. Step 6: Final answer
    x = 25,237.20

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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.