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Finding the Fourth Proportional to 56,306.75, 77,704.29 and 30,815.38

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Solution

The fourth proportional to 56,306.75, 77,704.29 and 30,815.38 is: 42,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,306.75 : 77,704.29 = 30,815.38 : x
  2. Step 2: Convert to fraction form
    56,306.75/77,704.29 = 30,815.38/x
  3. Step 3: Cross multiply
    56,306.75x = 77,704.29 × 30,815.38
  4. Step 4: Simplify right side
    56,306.75x = 2,394,487,223.98
  5. Step 5: Solve for x
    x = 2,394,487,223.98/56,306.75
  6. Step 6: Final answer
    x = 42,525.76

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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.