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Finding the Fourth Proportional to 85,759.50, 128,616 and 35,829.15

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Solution

The fourth proportional to 85,759.50, 128,616 and 35,829.15 is: 53,734.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,759.50 : 128,616 = 35,829.15 : x
  2. Step 2: Convert to fraction form
    85,759.50/128,616 = 35,829.15/x
  3. Step 3: Cross multiply
    85,759.50x = 128,616 × 35,829.15
  4. Step 4: Simplify right side
    85,759.50x = 4,608,201,956.40
  5. Step 5: Solve for x
    x = 4,608,201,956.40/85,759.50
  6. Step 6: Final answer
    x = 53,734.01

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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.