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Finding the Fourth Proportional to 86,493, 119,360.36 and 46,749

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Solution

The fourth proportional to 86,493, 119,360.36 and 46,749 is: 64,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,493 : 119,360.36 = 46,749 : x
  2. Step 2: Convert to fraction form
    86,493/119,360.36 = 46,749/x
  3. Step 3: Cross multiply
    86,493x = 119,360.36 × 46,749
  4. Step 4: Simplify right side
    86,493x = 5,579,977,469.64
  5. Step 5: Solve for x
    x = 5,579,977,469.64/86,493
  6. Step 6: Final answer
    x = 64,513.63

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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.