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Finding the Fourth Proportional to 55,077.84, 82,570.05 and 21,821.40

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Solution

The fourth proportional to 55,077.84, 82,570.05 and 21,821.40 is: 32,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,077.84 : 82,570.05 = 21,821.40 : x
  2. Step 2: Convert to fraction form
    55,077.84/82,570.05 = 21,821.40/x
  3. Step 3: Cross multiply
    55,077.84x = 82,570.05 × 21,821.40
  4. Step 4: Simplify right side
    55,077.84x = 1,801,794,089.07
  5. Step 5: Solve for x
    x = 1,801,794,089.07/55,077.84
  6. Step 6: Final answer
    x = 32,713.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.