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Finding the Fourth Proportional to 30,729.76, 42,410.26 and 18,801.04

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Solution

The fourth proportional to 30,729.76, 42,410.26 and 18,801.04 is: 25,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.76 : 42,410.26 = 18,801.04 : x
  2. Step 2: Convert to fraction form
    30,729.76/42,410.26 = 18,801.04/x
  3. Step 3: Cross multiply
    30,729.76x = 42,410.26 × 18,801.04
  4. Step 4: Simplify right side
    30,729.76x = 797,356,994.67
  5. Step 5: Solve for x
    x = 797,356,994.67/30,729.76
  6. Step 6: Final answer
    x = 25,947.39

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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.