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Finding the Fourth Proportional to 32,871, 49,306.50 and 10,983

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Solution

The fourth proportional to 32,871, 49,306.50 and 10,983 is: 16,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871 : 49,306.50 = 10,983 : x
  2. Step 2: Convert to fraction form
    32,871/49,306.50 = 10,983/x
  3. Step 3: Cross multiply
    32,871x = 49,306.50 × 10,983
  4. Step 4: Simplify right side
    32,871x = 541,533,289.50
  5. Step 5: Solve for x
    x = 541,533,289.50/32,871
  6. Step 6: Final answer
    x = 16,474.50

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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.