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Finding the Fourth Proportional to 103,542.60, 155,315.84 and 32,463.66

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Solution

The fourth proportional to 103,542.60, 155,315.84 and 32,463.66 is: 48,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,542.60 : 155,315.84 = 32,463.66 : x
  2. Step 2: Convert to fraction form
    103,542.60/155,315.84 = 32,463.66/x
  3. Step 3: Cross multiply
    103,542.60x = 155,315.84 × 32,463.66
  4. Step 4: Simplify right side
    103,542.60x = 5,042,120,622.37
  5. Step 5: Solve for x
    x = 5,042,120,622.37/103,542.60
  6. Step 6: Final answer
    x = 48,696.10

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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.