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Finding the Fourth Proportional to 55,201, 76,177.56 and 30,050.68

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Solution

The fourth proportional to 55,201, 76,177.56 and 30,050.68 is: 41,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201 : 76,177.56 = 30,050.68 : x
  2. Step 2: Convert to fraction form
    55,201/76,177.56 = 30,050.68/x
  3. Step 3: Cross multiply
    55,201x = 76,177.56 × 30,050.68
  4. Step 4: Simplify right side
    55,201x = 2,289,187,478.74
  5. Step 5: Solve for x
    x = 2,289,187,478.74/55,201
  6. Step 6: Final answer
    x = 41,470.04

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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.