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Finding the Fourth Proportional to 55,269.10, 82,915.80 and 17,822.80

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Solution

The fourth proportional to 55,269.10, 82,915.80 and 17,822.80 is: 26,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,269.10 : 82,915.80 = 17,822.80 : x
  2. Step 2: Convert to fraction form
    55,269.10/82,915.80 = 17,822.80/x
  3. Step 3: Cross multiply
    55,269.10x = 82,915.80 × 17,822.80
  4. Step 4: Simplify right side
    55,269.10x = 1,477,791,720.24
  5. Step 5: Solve for x
    x = 1,477,791,720.24/55,269.10
  6. Step 6: Final answer
    x = 26,738.12

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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.