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Finding the Fourth Proportional to 67,443, 101,132.16 and 31,874.72

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Solution

The fourth proportional to 67,443, 101,132.16 and 31,874.72 is: 47,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,443 : 101,132.16 = 31,874.72 : x
  2. Step 2: Convert to fraction form
    67,443/101,132.16 = 31,874.72/x
  3. Step 3: Cross multiply
    67,443x = 101,132.16 × 31,874.72
  4. Step 4: Simplify right side
    67,443x = 3,223,559,283.00
  5. Step 5: Solve for x
    x = 3,223,559,283.00/67,443
  6. Step 6: Final answer
    x = 47,796.80

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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.