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Finding the Fourth Proportional to 35,157.62, 52,735.05 and 12,961.40

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Solution

The fourth proportional to 35,157.62, 52,735.05 and 12,961.40 is: 19,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,157.62 : 52,735.05 = 12,961.40 : x
  2. Step 2: Convert to fraction form
    35,157.62/52,735.05 = 12,961.40/x
  3. Step 3: Cross multiply
    35,157.62x = 52,735.05 × 12,961.40
  4. Step 4: Simplify right side
    35,157.62x = 683,520,077.07
  5. Step 5: Solve for x
    x = 683,520,077.07/35,157.62
  6. Step 6: Final answer
    x = 19,441.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.