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Finding the Fourth Proportional to 189,003.38, 283,510.53 and 48,762

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Solution

The fourth proportional to 189,003.38, 283,510.53 and 48,762 is: 73,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,003.38 : 283,510.53 = 48,762 : x
  2. Step 2: Convert to fraction form
    189,003.38/283,510.53 = 48,762/x
  3. Step 3: Cross multiply
    189,003.38x = 283,510.53 × 48,762
  4. Step 4: Simplify right side
    189,003.38x = 13,824,540,463.86
  5. Step 5: Solve for x
    x = 13,824,540,463.86/189,003.38
  6. Step 6: Final answer
    x = 73,144.41

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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.