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Finding the Fourth Proportional to 55,649.67, 76,800.29 and 31,442.24

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Solution

The fourth proportional to 55,649.67, 76,800.29 and 31,442.24 is: 43,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.67 : 76,800.29 = 31,442.24 : x
  2. Step 2: Convert to fraction form
    55,649.67/76,800.29 = 31,442.24/x
  3. Step 3: Cross multiply
    55,649.67x = 76,800.29 × 31,442.24
  4. Step 4: Simplify right side
    55,649.67x = 2,414,773,185.04
  5. Step 5: Solve for x
    x = 2,414,773,185.04/55,649.67
  6. Step 6: Final answer
    x = 43,392.41

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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.