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Finding the Fourth Proportional to 53,846.69, 80,770.01 and 14,402.78

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Solution

The fourth proportional to 53,846.69, 80,770.01 and 14,402.78 is: 21,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,846.69 : 80,770.01 = 14,402.78 : x
  2. Step 2: Convert to fraction form
    53,846.69/80,770.01 = 14,402.78/x
  3. Step 3: Cross multiply
    53,846.69x = 80,770.01 × 14,402.78
  4. Step 4: Simplify right side
    53,846.69x = 1,163,312,208.76
  5. Step 5: Solve for x
    x = 1,163,312,208.76/53,846.69
  6. Step 6: Final answer
    x = 21,604.16

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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.