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Finding the Fourth Proportional to 55,770.70, 83,656.05 and 51,277.90

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Solution

The fourth proportional to 55,770.70, 83,656.05 and 51,277.90 is: 76,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,770.70 : 83,656.05 = 51,277.90 : x
  2. Step 2: Convert to fraction form
    55,770.70/83,656.05 = 51,277.90/x
  3. Step 3: Cross multiply
    55,770.70x = 83,656.05 × 51,277.90
  4. Step 4: Simplify right side
    55,770.70x = 4,289,706,566.30
  5. Step 5: Solve for x
    x = 4,289,706,566.30/55,770.70
  6. Step 6: Final answer
    x = 76,916.85

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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.