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Finding the Fourth Proportional to 35,997.08, 53,978.67 and 12,298.28

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Solution

The fourth proportional to 35,997.08, 53,978.67 and 12,298.28 is: 18,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,997.08 : 53,978.67 = 12,298.28 : x
  2. Step 2: Convert to fraction form
    35,997.08/53,978.67 = 12,298.28/x
  3. Step 3: Cross multiply
    35,997.08x = 53,978.67 × 12,298.28
  4. Step 4: Simplify right side
    35,997.08x = 663,844,527.79
  5. Step 5: Solve for x
    x = 663,844,527.79/35,997.08
  6. Step 6: Final answer
    x = 18,441.62

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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.