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Finding the Fourth Proportional to 55,355.38, 76,389.33 and 30,205.30

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Solution

The fourth proportional to 55,355.38, 76,389.33 and 30,205.30 is: 41,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,355.38 : 76,389.33 = 30,205.30 : x
  2. Step 2: Convert to fraction form
    55,355.38/76,389.33 = 30,205.30/x
  3. Step 3: Cross multiply
    55,355.38x = 76,389.33 × 30,205.30
  4. Step 4: Simplify right side
    55,355.38x = 2,307,362,629.45
  5. Step 5: Solve for x
    x = 2,307,362,629.45/55,355.38
  6. Step 6: Final answer
    x = 41,682.72

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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.