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Finding the Fourth Proportional to 32,435.75, 48,653.67 and 7,811.75

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Solution

The fourth proportional to 32,435.75, 48,653.67 and 7,811.75 is: 11,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,435.75 : 48,653.67 = 7,811.75 : x
  2. Step 2: Convert to fraction form
    32,435.75/48,653.67 = 7,811.75/x
  3. Step 3: Cross multiply
    32,435.75x = 48,653.67 × 7,811.75
  4. Step 4: Simplify right side
    32,435.75x = 380,070,306.62
  5. Step 5: Solve for x
    x = 380,070,306.62/32,435.75
  6. Step 6: Final answer
    x = 11,717.64

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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.