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Finding the Fourth Proportional to 47,825.64, 65,960.08 and 42,452

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Solution

The fourth proportional to 47,825.64, 65,960.08 and 42,452 is: 58,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,825.64 : 65,960.08 = 42,452 : x
  2. Step 2: Convert to fraction form
    47,825.64/65,960.08 = 42,452/x
  3. Step 3: Cross multiply
    47,825.64x = 65,960.08 × 42,452
  4. Step 4: Simplify right side
    47,825.64x = 2,800,137,316.16
  5. Step 5: Solve for x
    x = 2,800,137,316.16/47,825.64
  6. Step 6: Final answer
    x = 58,548.87

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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.