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Finding the Fourth Proportional to 57,226.52, 78,971.70 and 31,385

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Solution

The fourth proportional to 57,226.52, 78,971.70 and 31,385 is: 43,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.52 : 78,971.70 = 31,385 : x
  2. Step 2: Convert to fraction form
    57,226.52/78,971.70 = 31,385/x
  3. Step 3: Cross multiply
    57,226.52x = 78,971.70 × 31,385
  4. Step 4: Simplify right side
    57,226.52x = 2,478,526,804.50
  5. Step 5: Solve for x
    x = 2,478,526,804.50/57,226.52
  6. Step 6: Final answer
    x = 43,310.81

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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.