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Finding the Fourth Proportional to 59,755, 89,632.50 and 18,202

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Solution

The fourth proportional to 59,755, 89,632.50 and 18,202 is: 27,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,755 : 89,632.50 = 18,202 : x
  2. Step 2: Convert to fraction form
    59,755/89,632.50 = 18,202/x
  3. Step 3: Cross multiply
    59,755x = 89,632.50 × 18,202
  4. Step 4: Simplify right side
    59,755x = 1,631,490,765
  5. Step 5: Solve for x
    x = 1,631,490,765/59,755
  6. Step 6: Final answer
    x = 27,303

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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.