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Finding the Fourth Proportional to 37,603.26, 56,405.70 and 12,644.10

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Solution

The fourth proportional to 37,603.26, 56,405.70 and 12,644.10 is: 18,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,603.26 : 56,405.70 = 12,644.10 : x
  2. Step 2: Convert to fraction form
    37,603.26/56,405.70 = 12,644.10/x
  3. Step 3: Cross multiply
    37,603.26x = 56,405.70 × 12,644.10
  4. Step 4: Simplify right side
    37,603.26x = 713,199,311.37
  5. Step 5: Solve for x
    x = 713,199,311.37/37,603.26
  6. Step 6: Final answer
    x = 18,966.42

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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.