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Finding the Fourth Proportional to 70,647, 97,493.94 and 38,816.52

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Solution

The fourth proportional to 70,647, 97,493.94 and 38,816.52 is: 53,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,647 : 97,493.94 = 38,816.52 : x
  2. Step 2: Convert to fraction form
    70,647/97,493.94 = 38,816.52/x
  3. Step 3: Cross multiply
    70,647x = 97,493.94 × 38,816.52
  4. Step 4: Simplify right side
    70,647x = 3,784,375,471.89
  5. Step 5: Solve for x
    x = 3,784,375,471.89/70,647
  6. Step 6: Final answer
    x = 53,567.39

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