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Finding the Fourth Proportional to 78,738.44, 108,676.02 and 45,222.92

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Solution

The fourth proportional to 78,738.44, 108,676.02 and 45,222.92 is: 62,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,738.44 : 108,676.02 = 45,222.92 : x
  2. Step 2: Convert to fraction form
    78,738.44/108,676.02 = 45,222.92/x
  3. Step 3: Cross multiply
    78,738.44x = 108,676.02 × 45,222.92
  4. Step 4: Simplify right side
    78,738.44x = 4,914,646,958.38
  5. Step 5: Solve for x
    x = 4,914,646,958.38/78,738.44
  6. Step 6: Final answer
    x = 62,417.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.