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Finding the Fourth Proportional to 45,982.32, 63,391.32 and 38,880.24

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Solution

The fourth proportional to 45,982.32, 63,391.32 and 38,880.24 is: 53,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982.32 : 63,391.32 = 38,880.24 : x
  2. Step 2: Convert to fraction form
    45,982.32/63,391.32 = 38,880.24/x
  3. Step 3: Cross multiply
    45,982.32x = 63,391.32 × 38,880.24
  4. Step 4: Simplify right side
    45,982.32x = 2,464,669,735.52
  5. Step 5: Solve for x
    x = 2,464,669,735.52/45,982.32
  6. Step 6: Final answer
    x = 53,600.38

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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.