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Finding the Fourth Proportional to 86,477, 119,338.32 and 46,733

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Solution

The fourth proportional to 86,477, 119,338.32 and 46,733 is: 64,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,477 : 119,338.32 = 46,733 : x
  2. Step 2: Convert to fraction form
    86,477/119,338.32 = 46,733/x
  3. Step 3: Cross multiply
    86,477x = 119,338.32 × 46,733
  4. Step 4: Simplify right side
    86,477x = 5,577,037,708.56
  5. Step 5: Solve for x
    x = 5,577,037,708.56/86,477
  6. Step 6: Final answer
    x = 64,491.57

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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.