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Finding the Fourth Proportional to 73,633.66, 110,454.14 and 21,050.89

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Solution

The fourth proportional to 73,633.66, 110,454.14 and 21,050.89 is: 31,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,633.66 : 110,454.14 = 21,050.89 : x
  2. Step 2: Convert to fraction form
    73,633.66/110,454.14 = 21,050.89/x
  3. Step 3: Cross multiply
    73,633.66x = 110,454.14 × 21,050.89
  4. Step 4: Simplify right side
    73,633.66x = 2,325,157,951.18
  5. Step 5: Solve for x
    x = 2,325,157,951.18/73,633.66
  6. Step 6: Final answer
    x = 31,577.38

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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.