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Finding the Fourth Proportional to 34,150.40, 47,127 and 20,000.24

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Solution

The fourth proportional to 34,150.40, 47,127 and 20,000.24 is: 27,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150.40 : 47,127 = 20,000.24 : x
  2. Step 2: Convert to fraction form
    34,150.40/47,127 = 20,000.24/x
  3. Step 3: Cross multiply
    34,150.40x = 47,127 × 20,000.24
  4. Step 4: Simplify right side
    34,150.40x = 942,551,310.48
  5. Step 5: Solve for x
    x = 942,551,310.48/34,150.40
  6. Step 6: Final answer
    x = 27,600.01

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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.