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Finding the Fourth Proportional to 103,657.06, 155,480.55 and 33,534.82

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Solution

The fourth proportional to 103,657.06, 155,480.55 and 33,534.82 is: 50,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657.06 : 155,480.55 = 33,534.82 : x
  2. Step 2: Convert to fraction form
    103,657.06/155,480.55 = 33,534.82/x
  3. Step 3: Cross multiply
    103,657.06x = 155,480.55 × 33,534.82
  4. Step 4: Simplify right side
    103,657.06x = 5,214,012,257.75
  5. Step 5: Solve for x
    x = 5,214,012,257.75/103,657.06
  6. Step 6: Final answer
    x = 50,300.60

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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.