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Finding the Fourth Proportional to 70,460.20, 97,234.86 and 38,629

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Solution

The fourth proportional to 70,460.20, 97,234.86 and 38,629 is: 53,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,460.20 : 97,234.86 = 38,629 : x
  2. Step 2: Convert to fraction form
    70,460.20/97,234.86 = 38,629/x
  3. Step 3: Cross multiply
    70,460.20x = 97,234.86 × 38,629
  4. Step 4: Simplify right side
    70,460.20x = 3,756,085,406.94
  5. Step 5: Solve for x
    x = 3,756,085,406.94/70,460.20
  6. Step 6: Final answer
    x = 53,307.90

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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.