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Finding the Fourth Proportional to 103,838.82, 155,761.56 and 32,762.11

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Solution

The fourth proportional to 103,838.82, 155,761.56 and 32,762.11 is: 49,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,838.82 : 155,761.56 = 32,762.11 : x
  2. Step 2: Convert to fraction form
    103,838.82/155,761.56 = 32,762.11/x
  3. Step 3: Cross multiply
    103,838.82x = 155,761.56 × 32,762.11
  4. Step 4: Simplify right side
    103,838.82x = 5,103,077,939.64
  5. Step 5: Solve for x
    x = 5,103,077,939.64/103,838.82
  6. Step 6: Final answer
    x = 49,144.22

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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.