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Finding the Fourth Proportional to 53,484.05, 73,809.69 and 30,821.24

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Solution

The fourth proportional to 53,484.05, 73,809.69 and 30,821.24 is: 42,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484.05 : 73,809.69 = 30,821.24 : x
  2. Step 2: Convert to fraction form
    53,484.05/73,809.69 = 30,821.24/x
  3. Step 3: Cross multiply
    53,484.05x = 73,809.69 × 30,821.24
  4. Step 4: Simplify right side
    53,484.05x = 2,274,906,169.82
  5. Step 5: Solve for x
    x = 2,274,906,169.82/53,484.05
  6. Step 6: Final answer
    x = 42,534.29

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