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Finding the Fourth Proportional to 47,535.80, 65,724.64 and 41,630.90

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Solution

The fourth proportional to 47,535.80, 65,724.64 and 41,630.90 is: 57,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535.80 : 65,724.64 = 41,630.90 : x
  2. Step 2: Convert to fraction form
    47,535.80/65,724.64 = 41,630.90/x
  3. Step 3: Cross multiply
    47,535.80x = 65,724.64 × 41,630.90
  4. Step 4: Simplify right side
    47,535.80x = 2,736,175,915.38
  5. Step 5: Solve for x
    x = 2,736,175,915.38/47,535.80
  6. Step 6: Final answer
    x = 57,560.32

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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.