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Finding the Fourth Proportional to 55,059.84, 75,977.10 and 31,181.76

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Solution

The fourth proportional to 55,059.84, 75,977.10 and 31,181.76 is: 43,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,059.84 : 75,977.10 = 31,181.76 : x
  2. Step 2: Convert to fraction form
    55,059.84/75,977.10 = 31,181.76/x
  3. Step 3: Cross multiply
    55,059.84x = 75,977.10 × 31,181.76
  4. Step 4: Simplify right side
    55,059.84x = 2,369,099,697.70
  5. Step 5: Solve for x
    x = 2,369,099,697.70/55,059.84
  6. Step 6: Final answer
    x = 43,027.73

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1.5x scale

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.