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Finding the Fourth Proportional to 55,302.55, 82,891.72 and 22,013.53

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Solution

The fourth proportional to 55,302.55, 82,891.72 and 22,013.53 is: 32,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.55 : 82,891.72 = 22,013.53 : x
  2. Step 2: Convert to fraction form
    55,302.55/82,891.72 = 22,013.53/x
  3. Step 3: Cross multiply
    55,302.55x = 82,891.72 × 22,013.53
  4. Step 4: Simplify right side
    55,302.55x = 1,824,739,364.97
  5. Step 5: Solve for x
    x = 1,824,739,364.97/55,302.55
  6. Step 6: Final answer
    x = 32,995.57

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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.