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Finding the Fourth Proportional to 51,948.80, 77,728.80 and 34,452.80

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Solution

The fourth proportional to 51,948.80, 77,728.80 and 34,452.80 is: 51,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948.80 : 77,728.80 = 34,452.80 : x
  2. Step 2: Convert to fraction form
    51,948.80/77,728.80 = 34,452.80/x
  3. Step 3: Cross multiply
    51,948.80x = 77,728.80 × 34,452.80
  4. Step 4: Simplify right side
    51,948.80x = 2,677,974,800.64
  5. Step 5: Solve for x
    x = 2,677,974,800.64/51,948.80
  6. Step 6: Final answer
    x = 51,550.27

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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.