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Finding the Fourth Proportional to 95,311.76, 131,530.86 and 52,871

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Solution

The fourth proportional to 95,311.76, 131,530.86 and 52,871 is: 72,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,311.76 : 131,530.86 = 52,871 : x
  2. Step 2: Convert to fraction form
    95,311.76/131,530.86 = 52,871/x
  3. Step 3: Cross multiply
    95,311.76x = 131,530.86 × 52,871
  4. Step 4: Simplify right side
    95,311.76x = 6,954,168,099.06
  5. Step 5: Solve for x
    x = 6,954,168,099.06/95,311.76
  6. Step 6: Final answer
    x = 72,962.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.