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Finding the Fourth Proportional to 103,662.30, 155,512.65 and 33,543.90

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Solution

The fourth proportional to 103,662.30, 155,512.65 and 33,543.90 is: 50,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662.30 : 155,512.65 = 33,543.90 : x
  2. Step 2: Convert to fraction form
    103,662.30/155,512.65 = 33,543.90/x
  3. Step 3: Cross multiply
    103,662.30x = 155,512.65 × 33,543.90
  4. Step 4: Simplify right side
    103,662.30x = 5,216,500,780.34
  5. Step 5: Solve for x
    x = 5,216,500,780.34/103,662.30
  6. Step 6: Final answer
    x = 50,322.06

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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.