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Finding the Fourth Proportional to 35,254.14, 52,876 and 10,287.50

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Solution

The fourth proportional to 35,254.14, 52,876 and 10,287.50 is: 15,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,254.14 : 52,876 = 10,287.50 : x
  2. Step 2: Convert to fraction form
    35,254.14/52,876 = 10,287.50/x
  3. Step 3: Cross multiply
    35,254.14x = 52,876 × 10,287.50
  4. Step 4: Simplify right side
    35,254.14x = 543,961,850
  5. Step 5: Solve for x
    x = 543,961,850/35,254.14
  6. Step 6: Final answer
    x = 15,429.73

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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.