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Finding the Fourth Proportional to 73,225.54, 109,838.31 and 26,467.48

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Solution

The fourth proportional to 73,225.54, 109,838.31 and 26,467.48 is: 39,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,225.54 : 109,838.31 = 26,467.48 : x
  2. Step 2: Convert to fraction form
    73,225.54/109,838.31 = 26,467.48/x
  3. Step 3: Cross multiply
    73,225.54x = 109,838.31 × 26,467.48
  4. Step 4: Simplify right side
    73,225.54x = 2,907,142,998.56
  5. Step 5: Solve for x
    x = 2,907,142,998.56/73,225.54
  6. Step 6: Final answer
    x = 39,701.22

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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.