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Finding the Fourth Proportional to 51,207.84, 76,822.20 and 29,031.12

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Solution

The fourth proportional to 51,207.84, 76,822.20 and 29,031.12 is: 43,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.84 : 76,822.20 = 29,031.12 : x
  2. Step 2: Convert to fraction form
    51,207.84/76,822.20 = 29,031.12/x
  3. Step 3: Cross multiply
    51,207.84x = 76,822.20 × 29,031.12
  4. Step 4: Simplify right side
    51,207.84x = 2,230,234,506.86
  5. Step 5: Solve for x
    x = 2,230,234,506.86/51,207.84
  6. Step 6: Final answer
    x = 43,552.60

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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.