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Finding the Fourth Proportional to 56,392.50, 77,824.20 and 31,242

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Solution

The fourth proportional to 56,392.50, 77,824.20 and 31,242 is: 43,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,392.50 : 77,824.20 = 31,242 : x
  2. Step 2: Convert to fraction form
    56,392.50/77,824.20 = 31,242/x
  3. Step 3: Cross multiply
    56,392.50x = 77,824.20 × 31,242
  4. Step 4: Simplify right side
    56,392.50x = 2,431,383,656.40
  5. Step 5: Solve for x
    x = 2,431,383,656.40/56,392.50
  6. Step 6: Final answer
    x = 43,115.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.