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Finding the Fourth Proportional to 70,972.58, 97,942.12 and 39,141.50

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Solution

The fourth proportional to 70,972.58, 97,942.12 and 39,141.50 is: 54,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,972.58 : 97,942.12 = 39,141.50 : x
  2. Step 2: Convert to fraction form
    70,972.58/97,942.12 = 39,141.50/x
  3. Step 3: Cross multiply
    70,972.58x = 97,942.12 × 39,141.50
  4. Step 4: Simplify right side
    70,972.58x = 3,833,600,902.42
  5. Step 5: Solve for x
    x = 3,833,600,902.42/70,972.58
  6. Step 6: Final answer
    x = 54,015.24

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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.