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Finding the Fourth Proportional to 85,435.60, 128,175.80 and 32,846.80

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Solution

The fourth proportional to 85,435.60, 128,175.80 and 32,846.80 is: 49,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,435.60 : 128,175.80 = 32,846.80 : x
  2. Step 2: Convert to fraction form
    85,435.60/128,175.80 = 32,846.80/x
  3. Step 3: Cross multiply
    85,435.60x = 128,175.80 × 32,846.80
  4. Step 4: Simplify right side
    85,435.60x = 4,210,164,867.44
  5. Step 5: Solve for x
    x = 4,210,164,867.44/85,435.60
  6. Step 6: Final answer
    x = 49,278.81

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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.