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Finding the Fourth Proportional to 59,753, 89,629.50 and 18,200

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Solution

The fourth proportional to 59,753, 89,629.50 and 18,200 is: 27,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,753 : 89,629.50 = 18,200 : x
  2. Step 2: Convert to fraction form
    59,753/89,629.50 = 18,200/x
  3. Step 3: Cross multiply
    59,753x = 89,629.50 × 18,200
  4. Step 4: Simplify right side
    59,753x = 1,631,256,900
  5. Step 5: Solve for x
    x = 1,631,256,900/59,753
  6. Step 6: Final answer
    x = 27,300

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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.