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Finding the Fourth Proportional to 70,382.88, 97,123.32 and 38,546.64

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Solution

The fourth proportional to 70,382.88, 97,123.32 and 38,546.64 is: 53,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.88 : 97,123.32 = 38,546.64 : x
  2. Step 2: Convert to fraction form
    70,382.88/97,123.32 = 38,546.64/x
  3. Step 3: Cross multiply
    70,382.88x = 97,123.32 × 38,546.64
  4. Step 4: Simplify right side
    70,382.88x = 3,743,777,651.64
  5. Step 5: Solve for x
    x = 3,743,777,651.64/70,382.88
  6. Step 6: Final answer
    x = 53,191.60

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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.