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Finding the Fourth Proportional to 53,212.50, 79,818.78 and 16,276.50

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Solution

The fourth proportional to 53,212.50, 79,818.78 and 16,276.50 is: 24,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,212.50 : 79,818.78 = 16,276.50 : x
  2. Step 2: Convert to fraction form
    53,212.50/79,818.78 = 16,276.50/x
  3. Step 3: Cross multiply
    53,212.50x = 79,818.78 × 16,276.50
  4. Step 4: Simplify right side
    53,212.50x = 1,299,170,372.67
  5. Step 5: Solve for x
    x = 1,299,170,372.67/53,212.50
  6. Step 6: Final answer
    x = 24,414.76

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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.