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Finding the Fourth Proportional to 55,676.70, 83,405.70 and 51,740.10

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Solution

The fourth proportional to 55,676.70, 83,405.70 and 51,740.10 is: 77,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676.70 : 83,405.70 = 51,740.10 : x
  2. Step 2: Convert to fraction form
    55,676.70/83,405.70 = 51,740.10/x
  3. Step 3: Cross multiply
    55,676.70x = 83,405.70 × 51,740.10
  4. Step 4: Simplify right side
    55,676.70x = 4,315,419,258.57
  5. Step 5: Solve for x
    x = 4,315,419,258.57/55,676.70
  6. Step 6: Final answer
    x = 77,508.53

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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.