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Finding the Fourth Proportional to 82,575.96, 113,989.68 and 55,754.76

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Solution

The fourth proportional to 82,575.96, 113,989.68 and 55,754.76 is: 76,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,575.96 : 113,989.68 = 55,754.76 : x
  2. Step 2: Convert to fraction form
    82,575.96/113,989.68 = 55,754.76/x
  3. Step 3: Cross multiply
    82,575.96x = 113,989.68 × 55,754.76
  4. Step 4: Simplify right side
    82,575.96x = 6,355,467,250.88
  5. Step 5: Solve for x
    x = 6,355,467,250.88/82,575.96
  6. Step 6: Final answer
    x = 76,965.10

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Double scale
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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.