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Finding the Fourth Proportional to 55,176.80, 82,765.20 and 46,623.20

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Solution

The fourth proportional to 55,176.80, 82,765.20 and 46,623.20 is: 69,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176.80 : 82,765.20 = 46,623.20 : x
  2. Step 2: Convert to fraction form
    55,176.80/82,765.20 = 46,623.20/x
  3. Step 3: Cross multiply
    55,176.80x = 82,765.20 × 46,623.20
  4. Step 4: Simplify right side
    55,176.80x = 3,858,778,472.64
  5. Step 5: Solve for x
    x = 3,858,778,472.64/55,176.80
  6. Step 6: Final answer
    x = 69,934.80

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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.