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Finding the Fourth Proportional to 55,605.20, 83,407.80 and 51,285.20

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Solution

The fourth proportional to 55,605.20, 83,407.80 and 51,285.20 is: 76,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,605.20 : 83,407.80 = 51,285.20 : x
  2. Step 2: Convert to fraction form
    55,605.20/83,407.80 = 51,285.20/x
  3. Step 3: Cross multiply
    55,605.20x = 83,407.80 × 51,285.20
  4. Step 4: Simplify right side
    55,605.20x = 4,277,585,704.56
  5. Step 5: Solve for x
    x = 4,277,585,704.56/55,605.20
  6. Step 6: Final answer
    x = 76,927.80

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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.