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Finding the Fourth Proportional to 73,122.66, 109,684.53 and 23,202.90

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Solution

The fourth proportional to 73,122.66, 109,684.53 and 23,202.90 is: 34,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122.66 : 109,684.53 = 23,202.90 : x
  2. Step 2: Convert to fraction form
    73,122.66/109,684.53 = 23,202.90/x
  3. Step 3: Cross multiply
    73,122.66x = 109,684.53 × 23,202.90
  4. Step 4: Simplify right side
    73,122.66x = 2,544,999,181.14
  5. Step 5: Solve for x
    x = 2,544,999,181.14/73,122.66
  6. Step 6: Final answer
    x = 34,804.52

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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.