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Finding the Fourth Proportional to 48,871, 73,233.60 and 31,326.40

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Solution

The fourth proportional to 48,871, 73,233.60 and 31,326.40 is: 46,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,871 : 73,233.60 = 31,326.40 : x
  2. Step 2: Convert to fraction form
    48,871/73,233.60 = 31,326.40/x
  3. Step 3: Cross multiply
    48,871x = 73,233.60 × 31,326.40
  4. Step 4: Simplify right side
    48,871x = 2,294,145,047.04
  5. Step 5: Solve for x
    x = 2,294,145,047.04/48,871
  6. Step 6: Final answer
    x = 46,942.87

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Why These Related Problems?

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