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Finding the Fourth Proportional to 35,788.81, 49,393.12 and 21,641.76

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Solution

The fourth proportional to 35,788.81, 49,393.12 and 21,641.76 is: 29,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.81 : 49,393.12 = 21,641.76 : x
  2. Step 2: Convert to fraction form
    35,788.81/49,393.12 = 21,641.76/x
  3. Step 3: Cross multiply
    35,788.81x = 49,393.12 × 21,641.76
  4. Step 4: Simplify right side
    35,788.81x = 1,068,954,048.69
  5. Step 5: Solve for x
    x = 1,068,954,048.69/35,788.81
  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.