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Finding the Fourth Proportional to 56,305.75, 77,702.91 and 30,814.38

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Solution

The fourth proportional to 56,305.75, 77,702.91 and 30,814.38 is: 42,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,305.75 : 77,702.91 = 30,814.38 : x
  2. Step 2: Convert to fraction form
    56,305.75/77,702.91 = 30,814.38/x
  3. Step 3: Cross multiply
    56,305.75x = 77,702.91 × 30,814.38
  4. Step 4: Simplify right side
    56,305.75x = 2,394,366,995.85
  5. Step 5: Solve for x
    x = 2,394,366,995.85/56,305.75
  6. Step 6: Final answer
    x = 42,524.38

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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.