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Finding the Fourth Proportional to 67,225.16, 100,814.22 and 19,827.67

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Solution

The fourth proportional to 67,225.16, 100,814.22 and 19,827.67 is: 29,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,225.16 : 100,814.22 = 19,827.67 : x
  2. Step 2: Convert to fraction form
    67,225.16/100,814.22 = 19,827.67/x
  3. Step 3: Cross multiply
    67,225.16x = 100,814.22 × 19,827.67
  4. Step 4: Simplify right side
    67,225.16x = 1,998,911,022.46
  5. Step 5: Solve for x
    x = 1,998,911,022.46/67,225.16
  6. Step 6: Final answer
    x = 29,734.57

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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.