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Finding the Fourth Proportional to 56,416.42, 77,857.80 and 31,265.38

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Solution

The fourth proportional to 56,416.42, 77,857.80 and 31,265.38 is: 43,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416.42 : 77,857.80 = 31,265.38 : x
  2. Step 2: Convert to fraction form
    56,416.42/77,857.80 = 31,265.38/x
  3. Step 3: Cross multiply
    56,416.42x = 77,857.80 × 31,265.38
  4. Step 4: Simplify right side
    56,416.42x = 2,434,253,702.96
  5. Step 5: Solve for x
    x = 2,434,253,702.96/56,416.42
  6. Step 6: Final answer
    x = 43,147.96

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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.