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Finding the Fourth Proportional to 70,438.14, 97,205.49 and 38,606.36

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Solution

The fourth proportional to 70,438.14, 97,205.49 and 38,606.36 is: 53,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438.14 : 97,205.49 = 38,606.36 : x
  2. Step 2: Convert to fraction form
    70,438.14/97,205.49 = 38,606.36/x
  3. Step 3: Cross multiply
    70,438.14x = 97,205.49 × 38,606.36
  4. Step 4: Simplify right side
    70,438.14x = 3,752,749,654.89
  5. Step 5: Solve for x
    x = 3,752,749,654.89/70,438.14
  6. Step 6: Final answer
    x = 53,277.24

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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.