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Finding the Fourth Proportional to 52,047.34, 71,825.32 and 28,174.20

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Solution

The fourth proportional to 52,047.34, 71,825.32 and 28,174.20 is: 38,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.34 : 71,825.32 = 28,174.20 : x
  2. Step 2: Convert to fraction form
    52,047.34/71,825.32 = 28,174.20/x
  3. Step 3: Cross multiply
    52,047.34x = 71,825.32 × 28,174.20
  4. Step 4: Simplify right side
    52,047.34x = 2,023,620,930.74
  5. Step 5: Solve for x
    x = 2,023,620,930.74/52,047.34
  6. Step 6: Final answer
    x = 38,880.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.