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Finding the Fourth Proportional to 56,356.12, 77,768.34 and 31,204

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Solution

The fourth proportional to 56,356.12, 77,768.34 and 31,204 is: 43,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356.12 : 77,768.34 = 31,204 : x
  2. Step 2: Convert to fraction form
    56,356.12/77,768.34 = 31,204/x
  3. Step 3: Cross multiply
    56,356.12x = 77,768.34 × 31,204
  4. Step 4: Simplify right side
    56,356.12x = 2,426,683,281.36
  5. Step 5: Solve for x
    x = 2,426,683,281.36/56,356.12
  6. Step 6: Final answer
    x = 43,059.80

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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.