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Finding the Fourth Proportional to 37,982.46, 56,972.04 and 11,686.08

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Solution

The fourth proportional to 37,982.46, 56,972.04 and 11,686.08 is: 17,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982.46 : 56,972.04 = 11,686.08 : x
  2. Step 2: Convert to fraction form
    37,982.46/56,972.04 = 11,686.08/x
  3. Step 3: Cross multiply
    37,982.46x = 56,972.04 × 11,686.08
  4. Step 4: Simplify right side
    37,982.46x = 665,779,817.20
  5. Step 5: Solve for x
    x = 665,779,817.20/37,982.46
  6. Step 6: Final answer
    x = 17,528.61

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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.