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Finding the Fourth Proportional to 86,529, 119,410.02 and 46,785

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Solution

The fourth proportional to 86,529, 119,410.02 and 46,785 is: 64,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,529 : 119,410.02 = 46,785 : x
  2. Step 2: Convert to fraction form
    86,529/119,410.02 = 46,785/x
  3. Step 3: Cross multiply
    86,529x = 119,410.02 × 46,785
  4. Step 4: Simplify right side
    86,529x = 5,586,597,785.70
  5. Step 5: Solve for x
    x = 5,586,597,785.70/86,529
  6. Step 6: Final answer
    x = 64,563.30

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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.