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Finding the Fourth Proportional to 70,975.32, 97,942.41 and 39,142.32

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Solution

The fourth proportional to 70,975.32, 97,942.41 and 39,142.32 is: 54,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,975.32 : 97,942.41 = 39,142.32 : x
  2. Step 2: Convert to fraction form
    70,975.32/97,942.41 = 39,142.32/x
  3. Step 3: Cross multiply
    70,975.32x = 97,942.41 × 39,142.32
  4. Step 4: Simplify right side
    70,975.32x = 3,833,693,153.79
  5. Step 5: Solve for x
    x = 3,833,693,153.79/70,975.32
  6. Step 6: Final answer
    x = 54,014.45

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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.