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Finding the Fourth Proportional to 56,195.38, 77,551.12 and 30,702.82

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Solution

The fourth proportional to 56,195.38, 77,551.12 and 30,702.82 is: 42,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,195.38 : 77,551.12 = 30,702.82 : x
  2. Step 2: Convert to fraction form
    56,195.38/77,551.12 = 30,702.82/x
  3. Step 3: Cross multiply
    56,195.38x = 77,551.12 × 30,702.82
  4. Step 4: Simplify right side
    56,195.38x = 2,381,038,078.16
  5. Step 5: Solve for x
    x = 2,381,038,078.16/56,195.38
  6. Step 6: Final answer
    x = 42,370.71

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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.