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Finding the Fourth Proportional to 68,433.86, 102,624.66 and 32,885.25

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Solution

The fourth proportional to 68,433.86, 102,624.66 and 32,885.25 is: 49,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,433.86 : 102,624.66 = 32,885.25 : x
  2. Step 2: Convert to fraction form
    68,433.86/102,624.66 = 32,885.25/x
  3. Step 3: Cross multiply
    68,433.86x = 102,624.66 × 32,885.25
  4. Step 4: Simplify right side
    68,433.86x = 3,374,837,600.27
  5. Step 5: Solve for x
    x = 3,374,837,600.27/68,433.86
  6. Step 6: Final answer
    x = 49,315.32

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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.