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Finding the Fourth Proportional to 53,092.96, 79,650.96 and 16,156

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Solution

The fourth proportional to 53,092.96, 79,650.96 and 16,156 is: 24,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,092.96 : 79,650.96 = 16,156 : x
  2. Step 2: Convert to fraction form
    53,092.96/79,650.96 = 16,156/x
  3. Step 3: Cross multiply
    53,092.96x = 79,650.96 × 16,156
  4. Step 4: Simplify right side
    53,092.96x = 1,286,840,909.76
  5. Step 5: Solve for x
    x = 1,286,840,909.76/53,092.96
  6. Step 6: Final answer
    x = 24,237.51

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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.