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Finding the Fourth Proportional to 103,838.99, 155,761.84 and 32,762.27

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Solution

The fourth proportional to 103,838.99, 155,761.84 and 32,762.27 is: 49,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,838.99 : 155,761.84 = 32,762.27 : x
  2. Step 2: Convert to fraction form
    103,838.99/155,761.84 = 32,762.27/x
  3. Step 3: Cross multiply
    103,838.99x = 155,761.84 × 32,762.27
  4. Step 4: Simplify right side
    103,838.99x = 5,103,111,703.85
  5. Step 5: Solve for x
    x = 5,103,111,703.85/103,838.99
  6. Step 6: Final answer
    x = 49,144.47

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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.