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Finding the Fourth Proportional to 35,173.50, 52,760.25 and 10,549.50

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Solution

The fourth proportional to 35,173.50, 52,760.25 and 10,549.50 is: 15,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,173.50 : 52,760.25 = 10,549.50 : x
  2. Step 2: Convert to fraction form
    35,173.50/52,760.25 = 10,549.50/x
  3. Step 3: Cross multiply
    35,173.50x = 52,760.25 × 10,549.50
  4. Step 4: Simplify right side
    35,173.50x = 556,594,257.38
  5. Step 5: Solve for x
    x = 556,594,257.38/35,173.50
  6. Step 6: Final answer
    x = 15,824.25

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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.