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Finding the Fourth Proportional to 57,287.88, 85,839.48 and 31,005

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Solution

The fourth proportional to 57,287.88, 85,839.48 and 31,005 is: 46,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287.88 : 85,839.48 = 31,005 : x
  2. Step 2: Convert to fraction form
    57,287.88/85,839.48 = 31,005/x
  3. Step 3: Cross multiply
    57,287.88x = 85,839.48 × 31,005
  4. Step 4: Simplify right side
    57,287.88x = 2,661,453,077.40
  5. Step 5: Solve for x
    x = 2,661,453,077.40/57,287.88
  6. Step 6: Final answer
    x = 46,457.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.