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Finding the Fourth Proportional to 53,106.96, 79,671.96 and 16,170

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Solution

The fourth proportional to 53,106.96, 79,671.96 and 16,170 is: 24,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.96 : 79,671.96 = 16,170 : x
  2. Step 2: Convert to fraction form
    53,106.96/79,671.96 = 16,170/x
  3. Step 3: Cross multiply
    53,106.96x = 79,671.96 × 16,170
  4. Step 4: Simplify right side
    53,106.96x = 1,288,295,593.20
  5. Step 5: Solve for x
    x = 1,288,295,593.20/53,106.96
  6. Step 6: Final answer
    x = 24,258.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.