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Finding the Fourth Proportional to 56,795.62, 78,378.48 and 31,302.91

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Solution

The fourth proportional to 56,795.62, 78,378.48 and 31,302.91 is: 43,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,795.62 : 78,378.48 = 31,302.91 : x
  2. Step 2: Convert to fraction form
    56,795.62/78,378.48 = 31,302.91/x
  3. Step 3: Cross multiply
    56,795.62x = 78,378.48 × 31,302.91
  4. Step 4: Simplify right side
    56,795.62x = 2,453,474,505.38
  5. Step 5: Solve for x
    x = 2,453,474,505.38/56,795.62
  6. Step 6: Final answer
    x = 43,198.30

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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.