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Finding the Fourth Proportional to 35,186.50, 52,783.20 and 10,226.75

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Solution

The fourth proportional to 35,186.50, 52,783.20 and 10,226.75 is: 15,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,186.50 : 52,783.20 = 10,226.75 : x
  2. Step 2: Convert to fraction form
    35,186.50/52,783.20 = 10,226.75/x
  3. Step 3: Cross multiply
    35,186.50x = 52,783.20 × 10,226.75
  4. Step 4: Simplify right side
    35,186.50x = 539,800,590.60
  5. Step 5: Solve for x
    x = 539,800,590.60/35,186.50
  6. Step 6: Final answer
    x = 15,341.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.