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Finding the Fourth Proportional to 42,138.36, 63,262.44 and 28,188

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Solution

The fourth proportional to 42,138.36, 63,262.44 and 28,188 is: 42,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.36 : 63,262.44 = 28,188 : x
  2. Step 2: Convert to fraction form
    42,138.36/63,262.44 = 28,188/x
  3. Step 3: Cross multiply
    42,138.36x = 63,262.44 × 28,188
  4. Step 4: Simplify right side
    42,138.36x = 1,783,241,658.72
  5. Step 5: Solve for x
    x = 1,783,241,658.72/42,138.36
  6. Step 6: Final answer
    x = 42,318.72

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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.