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Finding the Fourth Proportional to 87,577, 120,856.74 and 47,833

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Solution

The fourth proportional to 87,577, 120,856.74 and 47,833 is: 66,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,577 : 120,856.74 = 47,833 : x
  2. Step 2: Convert to fraction form
    87,577/120,856.74 = 47,833/x
  3. Step 3: Cross multiply
    87,577x = 120,856.74 × 47,833
  4. Step 4: Simplify right side
    87,577x = 5,780,940,444.42
  5. Step 5: Solve for x
    x = 5,780,940,444.42/87,577
  6. Step 6: Final answer
    x = 66,009.80

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