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Finding the Fourth Proportional to 103,631.60, 155,443.62 and 33,509

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Solution

The fourth proportional to 103,631.60, 155,443.62 and 33,509 is: 50,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631.60 : 155,443.62 = 33,509 : x
  2. Step 2: Convert to fraction form
    103,631.60/155,443.62 = 33,509/x
  3. Step 3: Cross multiply
    103,631.60x = 155,443.62 × 33,509
  4. Step 4: Simplify right side
    103,631.60x = 5,208,760,262.58
  5. Step 5: Solve for x
    x = 5,208,760,262.58/103,631.60
  6. Step 6: Final answer
    x = 50,262.28

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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.