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Finding the Fourth Proportional to 70,570.70, 105,822.02 and 40,997

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Solution

The fourth proportional to 70,570.70, 105,822.02 and 40,997 is: 61,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570.70 : 105,822.02 = 40,997 : x
  2. Step 2: Convert to fraction form
    70,570.70/105,822.02 = 40,997/x
  3. Step 3: Cross multiply
    70,570.70x = 105,822.02 × 40,997
  4. Step 4: Simplify right side
    70,570.70x = 4,338,385,353.94
  5. Step 5: Solve for x
    x = 4,338,385,353.94/70,570.70
  6. Step 6: Final answer
    x = 61,475.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.