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Finding the Fourth Proportional to 85,924.67, 128,734.52 and 35,894.66

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Solution

The fourth proportional to 85,924.67, 128,734.52 and 35,894.66 is: 53,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,924.67 : 128,734.52 = 35,894.66 : x
  2. Step 2: Convert to fraction form
    85,924.67/128,734.52 = 35,894.66/x
  3. Step 3: Cross multiply
    85,924.67x = 128,734.52 × 35,894.66
  4. Step 4: Simplify right side
    85,924.67x = 4,620,881,002.52
  5. Step 5: Solve for x
    x = 4,620,881,002.52/85,924.67
  6. Step 6: Final answer
    x = 53,778.28

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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.