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Finding the Fourth Proportional to 79,821.84, 110,096.24 and 54,282.81

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Solution

The fourth proportional to 79,821.84, 110,096.24 and 54,282.81 is: 74,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,821.84 : 110,096.24 = 54,282.81 : x
  2. Step 2: Convert to fraction form
    79,821.84/110,096.24 = 54,282.81/x
  3. Step 3: Cross multiply
    79,821.84x = 110,096.24 × 54,282.81
  4. Step 4: Simplify right side
    79,821.84x = 5,976,333,277.63
  5. Step 5: Solve for x
    x = 5,976,333,277.63/79,821.84
  6. Step 6: Final answer
    x = 74,870.90

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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.