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Finding the Fourth Proportional to 40,975.50, 61,406.10 and 30,972

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Solution

The fourth proportional to 40,975.50, 61,406.10 and 30,972 is: 46,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,975.50 : 61,406.10 = 30,972 : x
  2. Step 2: Convert to fraction form
    40,975.50/61,406.10 = 30,972/x
  3. Step 3: Cross multiply
    40,975.50x = 61,406.10 × 30,972
  4. Step 4: Simplify right side
    40,975.50x = 1,901,869,729.20
  5. Step 5: Solve for x
    x = 1,901,869,729.20/40,975.50
  6. Step 6: Final answer
    x = 46,414.80

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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.