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Finding the Fourth Proportional to 70,743.82, 97,624.40 and 38,912.70

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Solution

The fourth proportional to 70,743.82, 97,624.40 and 38,912.70 is: 53,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743.82 : 97,624.40 = 38,912.70 : x
  2. Step 2: Convert to fraction form
    70,743.82/97,624.40 = 38,912.70/x
  3. Step 3: Cross multiply
    70,743.82x = 97,624.40 × 38,912.70
  4. Step 4: Simplify right side
    70,743.82x = 3,798,828,989.88
  5. Step 5: Solve for x
    x = 3,798,828,989.88/70,743.82
  6. Step 6: Final answer
    x = 53,698.39

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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.