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Finding the Fourth Proportional to 29,764.84, 41,077.38 and 19,675.58

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Solution

The fourth proportional to 29,764.84, 41,077.38 and 19,675.58 is: 27,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764.84 : 41,077.38 = 19,675.58 : x
  2. Step 2: Convert to fraction form
    29,764.84/41,077.38 = 19,675.58/x
  3. Step 3: Cross multiply
    29,764.84x = 41,077.38 × 19,675.58
  4. Step 4: Simplify right side
    29,764.84x = 808,221,276.38
  5. Step 5: Solve for x
    x = 808,221,276.38/29,764.84
  6. Step 6: Final answer
    x = 27,153.56

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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.