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Finding the Fourth Proportional to 74,202.66, 111,309.12 and 29,829.44

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Solution

The fourth proportional to 74,202.66, 111,309.12 and 29,829.44 is: 44,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202.66 : 111,309.12 = 29,829.44 : x
  2. Step 2: Convert to fraction form
    74,202.66/111,309.12 = 29,829.44/x
  3. Step 3: Cross multiply
    74,202.66x = 111,309.12 × 29,829.44
  4. Step 4: Simplify right side
    74,202.66x = 3,320,288,994.77
  5. Step 5: Solve for x
    x = 3,320,288,994.77/74,202.66
  6. Step 6: Final answer
    x = 44,746.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.