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Finding the Fourth Proportional to 70,538.78, 97,343.46 and 38,709.68

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Solution

The fourth proportional to 70,538.78, 97,343.46 and 38,709.68 is: 53,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,538.78 : 97,343.46 = 38,709.68 : x
  2. Step 2: Convert to fraction form
    70,538.78/97,343.46 = 38,709.68/x
  3. Step 3: Cross multiply
    70,538.78x = 97,343.46 × 38,709.68
  4. Step 4: Simplify right side
    70,538.78x = 3,768,134,186.69
  5. Step 5: Solve for x
    x = 3,768,134,186.69/70,538.78
  6. Step 6: Final answer
    x = 53,419.33

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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.