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Finding the Fourth Proportional to 57,146.35, 78,860.22 and 31,651.72

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Solution

The fourth proportional to 57,146.35, 78,860.22 and 31,651.72 is: 43,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146.35 : 78,860.22 = 31,651.72 : x
  2. Step 2: Convert to fraction form
    57,146.35/78,860.22 = 31,651.72/x
  3. Step 3: Cross multiply
    57,146.35x = 78,860.22 × 31,651.72
  4. Step 4: Simplify right side
    57,146.35x = 2,496,061,602.58
  5. Step 5: Solve for x
    x = 2,496,061,602.58/57,146.35
  6. Step 6: Final answer
    x = 43,678.41

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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.