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Finding the Fourth Proportional to 143,009.28, 214,524.18 and 37,827

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Solution

The fourth proportional to 143,009.28, 214,524.18 and 37,827 is: 56,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,009.28 : 214,524.18 = 37,827 : x
  2. Step 2: Convert to fraction form
    143,009.28/214,524.18 = 37,827/x
  3. Step 3: Cross multiply
    143,009.28x = 214,524.18 × 37,827
  4. Step 4: Simplify right side
    143,009.28x = 8,114,806,156.86
  5. Step 5: Solve for x
    x = 8,114,806,156.86/143,009.28
  6. Step 6: Final answer
    x = 56,743.21

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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.