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Finding the Fourth Proportional to 53,605.40, 80,404.70 and 16,166.76

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Solution

The fourth proportional to 53,605.40, 80,404.70 and 16,166.76 is: 24,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,605.40 : 80,404.70 = 16,166.76 : x
  2. Step 2: Convert to fraction form
    53,605.40/80,404.70 = 16,166.76/x
  3. Step 3: Cross multiply
    53,605.40x = 80,404.70 × 16,166.76
  4. Step 4: Simplify right side
    53,605.40x = 1,299,883,487.77
  5. Step 5: Solve for x
    x = 1,299,883,487.77/53,605.40
  6. Step 6: Final answer
    x = 24,249.11

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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.