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Finding the Fourth Proportional to 73,802.22, 110,709.54 and 23,212.86

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Solution

The fourth proportional to 73,802.22, 110,709.54 and 23,212.86 is: 34,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802.22 : 110,709.54 = 23,212.86 : x
  2. Step 2: Convert to fraction form
    73,802.22/110,709.54 = 23,212.86/x
  3. Step 3: Cross multiply
    73,802.22x = 110,709.54 × 23,212.86
  4. Step 4: Simplify right side
    73,802.22x = 2,569,885,052.68
  5. Step 5: Solve for x
    x = 2,569,885,052.68/73,802.22
  6. Step 6: Final answer
    x = 34,821.24

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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.