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Finding the Fourth Proportional to 31,895, 47,505.58 and 30,229.64

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Solution

The fourth proportional to 31,895, 47,505.58 and 30,229.64 is: 45,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895 : 47,505.58 = 30,229.64 : x
  2. Step 2: Convert to fraction form
    31,895/47,505.58 = 30,229.64/x
  3. Step 3: Cross multiply
    31,895x = 47,505.58 × 30,229.64
  4. Step 4: Simplify right side
    31,895x = 1,436,076,581.39
  5. Step 5: Solve for x
    x = 1,436,076,581.39/31,895
  6. Step 6: Final answer
    x = 45,025.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.