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Finding the Fourth Proportional to 68,270.50, 102,423.03 and 19,022.50

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Solution

The fourth proportional to 68,270.50, 102,423.03 and 19,022.50 is: 28,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,270.50 : 102,423.03 = 19,022.50 : x
  2. Step 2: Convert to fraction form
    68,270.50/102,423.03 = 19,022.50/x
  3. Step 3: Cross multiply
    68,270.50x = 102,423.03 × 19,022.50
  4. Step 4: Simplify right side
    68,270.50x = 1,948,342,088.18
  5. Step 5: Solve for x
    x = 1,948,342,088.18/68,270.50
  6. Step 6: Final answer
    x = 28,538.56

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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.