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Finding the Fourth Proportional to 70,835.82, 97,754.07 and 39,005.85

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Solution

The fourth proportional to 70,835.82, 97,754.07 and 39,005.85 is: 53,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.82 : 97,754.07 = 39,005.85 : x
  2. Step 2: Convert to fraction form
    70,835.82/97,754.07 = 39,005.85/x
  3. Step 3: Cross multiply
    70,835.82x = 97,754.07 × 39,005.85
  4. Step 4: Simplify right side
    70,835.82x = 3,812,980,591.31
  5. Step 5: Solve for x
    x = 3,812,980,591.31/70,835.82
  6. Step 6: Final answer
    x = 53,828.42

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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.