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Finding the Fourth Proportional to 57,000.84, 78,659.55 and 31,850.34

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Solution

The fourth proportional to 57,000.84, 78,659.55 and 31,850.34 is: 43,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000.84 : 78,659.55 = 31,850.34 : x
  2. Step 2: Convert to fraction form
    57,000.84/78,659.55 = 31,850.34/x
  3. Step 3: Cross multiply
    57,000.84x = 78,659.55 × 31,850.34
  4. Step 4: Simplify right side
    57,000.84x = 2,505,333,411.75
  5. Step 5: Solve for x
    x = 2,505,333,411.75/57,000.84
  6. Step 6: Final answer
    x = 43,952.57

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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.