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Finding the Fourth Proportional to 35,788.82, 49,393.13 and 21,641.77

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Solution

The fourth proportional to 35,788.82, 49,393.13 and 21,641.77 is: 29,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.82 : 49,393.13 = 21,641.77 : x
  2. Step 2: Convert to fraction form
    35,788.82/49,393.13 = 21,641.77/x
  3. Step 3: Cross multiply
    35,788.82x = 49,393.13 × 21,641.77
  4. Step 4: Simplify right side
    35,788.82x = 1,068,954,403.87
  5. Step 5: Solve for x
    x = 1,068,954,403.87/35,788.82
  6. Step 6: Final answer
    x = 29,868.39

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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.