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Finding the Fourth Proportional to 34,400.70, 47,475.72 and 20,256.30

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Solution

The fourth proportional to 34,400.70, 47,475.72 and 20,256.30 is: 27,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.70 : 47,475.72 = 20,256.30 : x
  2. Step 2: Convert to fraction form
    34,400.70/47,475.72 = 20,256.30/x
  3. Step 3: Cross multiply
    34,400.70x = 47,475.72 × 20,256.30
  4. Step 4: Simplify right side
    34,400.70x = 961,682,427.04
  5. Step 5: Solve for x
    x = 961,682,427.04/34,400.70
  6. Step 6: Final answer
    x = 27,955.32

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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.