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Finding the Fourth Proportional to 29,762.87, 41,074.61 and 19,673.82

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Solution

The fourth proportional to 29,762.87, 41,074.61 and 19,673.82 is: 27,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.87 : 41,074.61 = 19,673.82 : x
  2. Step 2: Convert to fraction form
    29,762.87/41,074.61 = 19,673.82/x
  3. Step 3: Cross multiply
    29,762.87x = 41,074.61 × 19,673.82
  4. Step 4: Simplify right side
    29,762.87x = 808,094,278.34
  5. Step 5: Solve for x
    x = 808,094,278.34/29,762.87
  6. Step 6: Final answer
    x = 27,151.09

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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.