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Finding the Fourth Proportional to 54,822.80, 76,596.40 and 54,822.80

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Solution

The fourth proportional to 54,822.80, 76,596.40 and 54,822.80 is: 76,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822.80 : 76,596.40 = 54,822.80 : x
  2. Step 2: Convert to fraction form
    54,822.80/76,596.40 = 54,822.80/x
  3. Step 3: Cross multiply
    54,822.80x = 76,596.40 × 54,822.80
  4. Step 4: Simplify right side
    54,822.80x = 4,199,229,117.92
  5. Step 5: Solve for x
    x = 4,199,229,117.92/54,822.80
  6. Step 6: Final answer
    x = 76,596.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.