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Finding the Fourth Proportional to 81,849.25, 112,950.84 and 46,039.22

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Solution

The fourth proportional to 81,849.25, 112,950.84 and 46,039.22 is: 63,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,849.25 : 112,950.84 = 46,039.22 : x
  2. Step 2: Convert to fraction form
    81,849.25/112,950.84 = 46,039.22/x
  3. Step 3: Cross multiply
    81,849.25x = 112,950.84 × 46,039.22
  4. Step 4: Simplify right side
    81,849.25x = 5,200,167,776.99
  5. Step 5: Solve for x
    x = 5,200,167,776.99/81,849.25
  6. Step 6: Final answer
    x = 63,533.48

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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.