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Finding the Fourth Proportional to 30,548.20, 45,807.92 and 11,837

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Solution

The fourth proportional to 30,548.20, 45,807.92 and 11,837 is: 17,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.20 : 45,807.92 = 11,837 : x
  2. Step 2: Convert to fraction form
    30,548.20/45,807.92 = 11,837/x
  3. Step 3: Cross multiply
    30,548.20x = 45,807.92 × 11,837
  4. Step 4: Simplify right side
    30,548.20x = 542,228,349.04
  5. Step 5: Solve for x
    x = 542,228,349.04/30,548.20
  6. Step 6: Final answer
    x = 17,749.93

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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.