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Finding the Fourth Proportional to 52,047.54, 71,825.79 and 28,174.50

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Solution

The fourth proportional to 52,047.54, 71,825.79 and 28,174.50 is: 38,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.54 : 71,825.79 = 28,174.50 : x
  2. Step 2: Convert to fraction form
    52,047.54/71,825.79 = 28,174.50/x
  3. Step 3: Cross multiply
    52,047.54x = 71,825.79 × 28,174.50
  4. Step 4: Simplify right side
    52,047.54x = 2,023,655,720.36
  5. Step 5: Solve for x
    x = 2,023,655,720.36/52,047.54
  6. Step 6: Final answer
    x = 38,880.91

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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.