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Finding the Fourth Proportional to 85,974.70, 128,852.70 and 41,505.70

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Solution

The fourth proportional to 85,974.70, 128,852.70 and 41,505.70 is: 62,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,974.70 : 128,852.70 = 41,505.70 : x
  2. Step 2: Convert to fraction form
    85,974.70/128,852.70 = 41,505.70/x
  3. Step 3: Cross multiply
    85,974.70x = 128,852.70 × 41,505.70
  4. Step 4: Simplify right side
    85,974.70x = 5,348,121,510.39
  5. Step 5: Solve for x
    x = 5,348,121,510.39/85,974.70
  6. Step 6: Final answer
    x = 62,205.76

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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.