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Finding the Fourth Proportional to 71,763.20, 98,929.45 and 47,523.49

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Solution

The fourth proportional to 71,763.20, 98,929.45 and 47,523.49 is: 65,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.20 : 98,929.45 = 47,523.49 : x
  2. Step 2: Convert to fraction form
    71,763.20/98,929.45 = 47,523.49/x
  3. Step 3: Cross multiply
    71,763.20x = 98,929.45 × 47,523.49
  4. Step 4: Simplify right side
    71,763.20x = 4,701,473,096.34
  5. Step 5: Solve for x
    x = 4,701,473,096.34/71,763.20
  6. Step 6: Final answer
    x = 65,513.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.