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Finding the Fourth Proportional to 53,769.50, 74,201.91 and 30,217.50

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Solution

The fourth proportional to 53,769.50, 74,201.91 and 30,217.50 is: 41,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,769.50 : 74,201.91 = 30,217.50 : x
  2. Step 2: Convert to fraction form
    53,769.50/74,201.91 = 30,217.50/x
  3. Step 3: Cross multiply
    53,769.50x = 74,201.91 × 30,217.50
  4. Step 4: Simplify right side
    53,769.50x = 2,242,196,215.43
  5. Step 5: Solve for x
    x = 2,242,196,215.43/53,769.50
  6. Step 6: Final answer
    x = 41,700.15

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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.