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Finding the Fourth Proportional to 70,605.68, 97,431.46 and 38,767.82

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Solution

The fourth proportional to 70,605.68, 97,431.46 and 38,767.82 is: 53,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605.68 : 97,431.46 = 38,767.82 : x
  2. Step 2: Convert to fraction form
    70,605.68/97,431.46 = 38,767.82/x
  3. Step 3: Cross multiply
    70,605.68x = 97,431.46 × 38,767.82
  4. Step 4: Simplify right side
    70,605.68x = 3,777,204,719.54
  5. Step 5: Solve for x
    x = 3,777,204,719.54/70,605.68
  6. Step 6: Final answer
    x = 53,497.18

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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.