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Finding the Fourth Proportional to 103,623.60, 155,431.62 and 33,501

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Solution

The fourth proportional to 103,623.60, 155,431.62 and 33,501 is: 50,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,623.60 : 155,431.62 = 33,501 : x
  2. Step 2: Convert to fraction form
    103,623.60/155,431.62 = 33,501/x
  3. Step 3: Cross multiply
    103,623.60x = 155,431.62 × 33,501
  4. Step 4: Simplify right side
    103,623.60x = 5,207,114,701.62
  5. Step 5: Solve for x
    x = 5,207,114,701.62/103,623.60
  6. Step 6: Final answer
    x = 50,250.28

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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.