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Finding the Fourth Proportional to 47,523.28, 71,309.74 and 34,483.28

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Solution

The fourth proportional to 47,523.28, 71,309.74 and 34,483.28 is: 51,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523.28 : 71,309.74 = 34,483.28 : x
  2. Step 2: Convert to fraction form
    47,523.28/71,309.74 = 34,483.28/x
  3. Step 3: Cross multiply
    47,523.28x = 71,309.74 × 34,483.28
  4. Step 4: Simplify right side
    47,523.28x = 2,458,993,731.15
  5. Step 5: Solve for x
    x = 2,458,993,731.15/47,523.28
  6. Step 6: Final answer
    x = 51,742.93

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Why These Related Problems?

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