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Finding the Fourth Proportional to 81,768.51, 112,849.89 and 45,473.57

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Solution

The fourth proportional to 81,768.51, 112,849.89 and 45,473.57 is: 62,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,768.51 : 112,849.89 = 45,473.57 : x
  2. Step 2: Convert to fraction form
    81,768.51/112,849.89 = 45,473.57/x
  3. Step 3: Cross multiply
    81,768.51x = 112,849.89 × 45,473.57
  4. Step 4: Simplify right side
    81,768.51x = 5,131,686,580.79
  5. Step 5: Solve for x
    x = 5,131,686,580.79/81,768.51
  6. Step 6: Final answer
    x = 62,758.72

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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.