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Finding the Fourth Proportional to 85,677.48, 128,427.12 and 33,123.06

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Solution

The fourth proportional to 85,677.48, 128,427.12 and 33,123.06 is: 49,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,677.48 : 128,427.12 = 33,123.06 : x
  2. Step 2: Convert to fraction form
    85,677.48/128,427.12 = 33,123.06/x
  3. Step 3: Cross multiply
    85,677.48x = 128,427.12 × 33,123.06
  4. Step 4: Simplify right side
    85,677.48x = 4,253,899,201.39
  5. Step 5: Solve for x
    x = 4,253,899,201.39/85,677.48
  6. Step 6: Final answer
    x = 49,650.14

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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.