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Finding the Fourth Proportional to 55,456.88, 76,530.49 and 30,306.38

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Solution

The fourth proportional to 55,456.88, 76,530.49 and 30,306.38 is: 41,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.88 : 76,530.49 = 30,306.38 : x
  2. Step 2: Convert to fraction form
    55,456.88/76,530.49 = 30,306.38/x
  3. Step 3: Cross multiply
    55,456.88x = 76,530.49 × 30,306.38
  4. Step 4: Simplify right side
    55,456.88x = 2,319,361,653.11
  5. Step 5: Solve for x
    x = 2,319,361,653.11/55,456.88
  6. Step 6: Final answer
    x = 41,822.80

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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.