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Finding the Fourth Proportional to 103,829.76, 155,744.64 and 33,716.16

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Solution

The fourth proportional to 103,829.76, 155,744.64 and 33,716.16 is: 50,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,829.76 : 155,744.64 = 33,716.16 : x
  2. Step 2: Convert to fraction form
    103,829.76/155,744.64 = 33,716.16/x
  3. Step 3: Cross multiply
    103,829.76x = 155,744.64 × 33,716.16
  4. Step 4: Simplify right side
    103,829.76x = 5,251,111,201.38
  5. Step 5: Solve for x
    x = 5,251,111,201.38/103,829.76
  6. Step 6: Final answer
    x = 50,574.24

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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.