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Finding the Fourth Proportional to 33,171.60, 45,821.76 and 30,809.76

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Solution

The fourth proportional to 33,171.60, 45,821.76 and 30,809.76 is: 42,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,171.60 : 45,821.76 = 30,809.76 : x
  2. Step 2: Convert to fraction form
    33,171.60/45,821.76 = 30,809.76/x
  3. Step 3: Cross multiply
    33,171.60x = 45,821.76 × 30,809.76
  4. Step 4: Simplify right side
    33,171.60x = 1,411,757,428.38
  5. Step 5: Solve for x
    x = 1,411,757,428.38/33,171.60
  6. Step 6: Final answer
    x = 42,559.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.