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Finding the Fourth Proportional to 30,814.16, 42,524.10 and 18,076.48

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Solution

The fourth proportional to 30,814.16, 42,524.10 and 18,076.48 is: 24,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.16 : 42,524.10 = 18,076.48 : x
  2. Step 2: Convert to fraction form
    30,814.16/42,524.10 = 18,076.48/x
  3. Step 3: Cross multiply
    30,814.16x = 42,524.10 × 18,076.48
  4. Step 4: Simplify right side
    30,814.16x = 768,686,043.17
  5. Step 5: Solve for x
    x = 768,686,043.17/30,814.16
  6. Step 6: Final answer
    x = 24,945.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.